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Finding the Fourth Proportional to 291,614.50, 402,428.01 and 157,478.50

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Solution

The fourth proportional to 291,614.50, 402,428.01 and 157,478.50 is: 217,320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,614.50 : 402,428.01 = 157,478.50 : x
  2. Step 2: Convert to fraction form
    291,614.50/402,428.01 = 157,478.50/x
  3. Step 3: Cross multiply
    291,614.50x = 402,428.01 × 157,478.50
  4. Step 4: Simplify right side
    291,614.50x = 63,373,759,372.79
  5. Step 5: Solve for x
    x = 63,373,759,372.79/291,614.50
  6. Step 6: Final answer
    x = 217,320.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.