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Finding the Fourth Proportional to 432,012.70, 648,019.05 and 210,828.70

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Solution

The fourth proportional to 432,012.70, 648,019.05 and 210,828.70 is: 316,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,012.70 : 648,019.05 = 210,828.70 : x
  2. Step 2: Convert to fraction form
    432,012.70/648,019.05 = 210,828.70/x
  3. Step 3: Cross multiply
    432,012.70x = 648,019.05 × 210,828.70
  4. Step 4: Simplify right side
    432,012.70x = 136,621,013,886.74
  5. Step 5: Solve for x
    x = 136,621,013,886.74/432,012.70
  6. Step 6: Final answer
    x = 316,243.05

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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.