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Finding the Fourth Proportional to 291,646.12, 402,471.54 and 157,510.12

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Solution

The fourth proportional to 291,646.12, 402,471.54 and 157,510.12 is: 217,363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,646.12 : 402,471.54 = 157,510.12 : x
  2. Step 2: Convert to fraction form
    291,646.12/402,471.54 = 157,510.12/x
  3. Step 3: Cross multiply
    291,646.12x = 402,471.54 × 157,510.12
  4. Step 4: Simplify right side
    291,646.12x = 63,393,340,561.98
  5. Step 5: Solve for x
    x = 63,393,340,561.98/291,646.12
  6. Step 6: Final answer
    x = 217,363.91

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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.