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Finding the Fourth Proportional to 291,694.16, 402,538.12 and 157,558.16

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Solution

The fourth proportional to 291,694.16, 402,538.12 and 157,558.16 is: 217,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,694.16 : 402,538.12 = 157,558.16 : x
  2. Step 2: Convert to fraction form
    291,694.16/402,538.12 = 157,558.16/x
  3. Step 3: Cross multiply
    291,694.16x = 402,538.12 × 157,558.16
  4. Step 4: Simplify right side
    291,694.16x = 63,423,165,517.06
  5. Step 5: Solve for x
    x = 63,423,165,517.06/291,694.16
  6. Step 6: Final answer
    x = 217,430.36

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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.