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Finding the Fourth Proportional to 314,345.91, 471,514.26 and 77,688.61

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Solution

The fourth proportional to 314,345.91, 471,514.26 and 77,688.61 is: 116,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,345.91 : 471,514.26 = 77,688.61 : x
  2. Step 2: Convert to fraction form
    314,345.91/471,514.26 = 77,688.61/x
  3. Step 3: Cross multiply
    314,345.91x = 471,514.26 × 77,688.61
  4. Step 4: Simplify right side
    314,345.91x = 36,631,287,454.58
  5. Step 5: Solve for x
    x = 36,631,287,454.58/314,345.91
  6. Step 6: Final answer
    x = 116,531.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.