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Finding the Fourth Proportional to 654,135.30, 913,689.90 and 654,135.30

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Solution

The fourth proportional to 654,135.30, 913,689.90 and 654,135.30 is: 913,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,135.30 : 913,689.90 = 654,135.30 : x
  2. Step 2: Convert to fraction form
    654,135.30/913,689.90 = 654,135.30/x
  3. Step 3: Cross multiply
    654,135.30x = 913,689.90 × 654,135.30
  4. Step 4: Simplify right side
    654,135.30x = 597,676,816,843.47
  5. Step 5: Solve for x
    x = 597,676,816,843.47/654,135.30
  6. Step 6: Final answer
    x = 913,689.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.