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Finding the Fourth Proportional to 514,835.68, 709,685.68 and 361,443.52

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Solution

The fourth proportional to 514,835.68, 709,685.68 and 361,443.52 is: 498,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,835.68 : 709,685.68 = 361,443.52 : x
  2. Step 2: Convert to fraction form
    514,835.68/709,685.68 = 361,443.52/x
  3. Step 3: Cross multiply
    514,835.68x = 709,685.68 × 361,443.52
  4. Step 4: Simplify right side
    514,835.68x = 256,511,290,272.79
  5. Step 5: Solve for x
    x = 256,511,290,272.79/514,835.68
  6. Step 6: Final answer
    x = 498,239.15

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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.