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Finding the Fourth Proportional to 432,576.32, 648,864.34 and 314,995.91

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Solution

The fourth proportional to 432,576.32, 648,864.34 and 314,995.91 is: 472,493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,576.32 : 648,864.34 = 314,995.91 : x
  2. Step 2: Convert to fraction form
    432,576.32/648,864.34 = 314,995.91/x
  3. Step 3: Cross multiply
    432,576.32x = 648,864.34 × 314,995.91
  4. Step 4: Simplify right side
    432,576.32x = 204,389,609,213.04
  5. Step 5: Solve for x
    x = 204,389,609,213.04/432,576.32
  6. Step 6: Final answer
    x = 472,493.76

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.