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Finding the Fourth Proportional to 713,977.92, 1,069,508.88 and 398,602.80

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Solution

The fourth proportional to 713,977.92, 1,069,508.88 and 398,602.80 is: 597,090.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,977.92 : 1,069,508.88 = 398,602.80 : x
  2. Step 2: Convert to fraction form
    713,977.92/1,069,508.88 = 398,602.80/x
  3. Step 3: Cross multiply
    713,977.92x = 1,069,508.88 × 398,602.80
  4. Step 4: Simplify right side
    713,977.92x = 426,309,234,192.86
  5. Step 5: Solve for x
    x = 426,309,234,192.86/713,977.92
  6. Step 6: Final answer
    x = 597,090.22

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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.