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Finding the Fourth Proportional to 432,523.96, 648,786 and 128,922.84

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Solution

The fourth proportional to 432,523.96, 648,786 and 128,922.84 is: 193,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,523.96 : 648,786 = 128,922.84 : x
  2. Step 2: Convert to fraction form
    432,523.96/648,786 = 128,922.84/x
  3. Step 3: Cross multiply
    432,523.96x = 648,786 × 128,922.84
  4. Step 4: Simplify right side
    432,523.96x = 83,643,333,672.24
  5. Step 5: Solve for x
    x = 83,643,333,672.24/432,523.96
  6. Step 6: Final answer
    x = 193,384.28

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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.