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Finding the Fourth Proportional to 291,856.87, 402,732.96 and 215,417.71

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Solution

The fourth proportional to 291,856.87, 402,732.96 and 215,417.71 is: 297,254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,856.87 : 402,732.96 = 215,417.71 : x
  2. Step 2: Convert to fraction form
    291,856.87/402,732.96 = 215,417.71/x
  3. Step 3: Cross multiply
    291,856.87x = 402,732.96 × 215,417.71
  4. Step 4: Simplify right side
    291,856.87x = 86,755,811,984.72
  5. Step 5: Solve for x
    x = 86,755,811,984.72/291,856.87
  6. Step 6: Final answer
    x = 297,254.65

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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.