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Finding the Fourth Proportional to 713,007.80, 1,069,166.10 and 397,129.40

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Solution

The fourth proportional to 713,007.80, 1,069,166.10 and 397,129.40 is: 595,501.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,007.80 : 1,069,166.10 = 397,129.40 : x
  2. Step 2: Convert to fraction form
    713,007.80/1,069,166.10 = 397,129.40/x
  3. Step 3: Cross multiply
    713,007.80x = 1,069,166.10 × 397,129.40
  4. Step 4: Simplify right side
    713,007.80x = 424,597,291,793.34
  5. Step 5: Solve for x
    x = 424,597,291,793.34/713,007.80
  6. Step 6: Final answer
    x = 595,501.61

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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.