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Finding the Fourth Proportional to 291,677.56, 402,515.31 and 157,541.56

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Solution

The fourth proportional to 291,677.56, 402,515.31 and 157,541.56 is: 217,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,677.56 : 402,515.31 = 157,541.56 : x
  2. Step 2: Convert to fraction form
    291,677.56/402,515.31 = 157,541.56/x
  3. Step 3: Cross multiply
    291,677.56x = 402,515.31 × 157,541.56
  4. Step 4: Simplify right side
    291,677.56x = 63,412,890,473.72
  5. Step 5: Solve for x
    x = 63,412,890,473.72/291,677.56
  6. Step 6: Final answer
    x = 217,407.50

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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.