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Finding the Fourth Proportional to 291,702, 402,549.12 and 157,566

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Solution

The fourth proportional to 291,702, 402,549.12 and 157,566 is: 217,441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,702 : 402,549.12 = 157,566 : x
  2. Step 2: Convert to fraction form
    291,702/402,549.12 = 157,566/x
  3. Step 3: Cross multiply
    291,702x = 402,549.12 × 157,566
  4. Step 4: Simplify right side
    291,702x = 63,428,054,641.92
  5. Step 5: Solve for x
    x = 63,428,054,641.92/291,702
  6. Step 6: Final answer
    x = 217,441.27

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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.