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Finding the Fourth Proportional to 291,655.30, 402,484.23 and 157,519.30

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Solution

The fourth proportional to 291,655.30, 402,484.23 and 157,519.30 is: 217,376.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,655.30 : 402,484.23 = 157,519.30 : x
  2. Step 2: Convert to fraction form
    291,655.30/402,484.23 = 157,519.30/x
  3. Step 3: Cross multiply
    291,655.30x = 402,484.23 × 157,519.30
  4. Step 4: Simplify right side
    291,655.30x = 63,399,034,170.64
  5. Step 5: Solve for x
    x = 63,399,034,170.64/291,655.30
  6. Step 6: Final answer
    x = 217,376.59

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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.