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Finding the Fourth Proportional to 459,481.12, 687,810.91 and 416,178.52

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Solution

The fourth proportional to 459,481.12, 687,810.91 and 416,178.52 is: 622,989.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,481.12 : 687,810.91 = 416,178.52 : x
  2. Step 2: Convert to fraction form
    459,481.12/687,810.91 = 416,178.52/x
  3. Step 3: Cross multiply
    459,481.12x = 687,810.91 × 416,178.52
  4. Step 4: Simplify right side
    459,481.12x = 286,252,121,043.71
  5. Step 5: Solve for x
    x = 286,252,121,043.71/459,481.12
  6. Step 6: Final answer
    x = 622,989.96

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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.