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Finding the Fourth Proportional to 291,646.50, 402,472.20 and 157,510.50

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Solution

The fourth proportional to 291,646.50, 402,472.20 and 157,510.50 is: 217,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,646.50 : 402,472.20 = 157,510.50 : x
  2. Step 2: Convert to fraction form
    291,646.50/402,472.20 = 157,510.50/x
  3. Step 3: Cross multiply
    291,646.50x = 402,472.20 × 157,510.50
  4. Step 4: Simplify right side
    291,646.50x = 63,393,597,458.10
  5. Step 5: Solve for x
    x = 63,393,597,458.10/291,646.50
  6. Step 6: Final answer
    x = 217,364.51

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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.