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Finding the Fourth Proportional to 514,835.92, 709,686.02 and 361,443.80

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Solution

The fourth proportional to 514,835.92, 709,686.02 and 361,443.80 is: 498,239.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,835.92 : 709,686.02 = 361,443.80 : x
  2. Step 2: Convert to fraction form
    514,835.92/709,686.02 = 361,443.80/x
  3. Step 3: Cross multiply
    514,835.92x = 709,686.02 × 361,443.80
  4. Step 4: Simplify right side
    514,835.92x = 256,511,611,875.68
  5. Step 5: Solve for x
    x = 256,511,611,875.68/514,835.92
  6. Step 6: Final answer
    x = 498,239.54

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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.