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Finding the Fourth Proportional to 609,148.49, 912,724.01 and 431,336.28

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Solution

The fourth proportional to 609,148.49, 912,724.01 and 431,336.28 is: 646,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,148.49 : 912,724.01 = 431,336.28 : x
  2. Step 2: Convert to fraction form
    609,148.49/912,724.01 = 431,336.28/x
  3. Step 3: Cross multiply
    609,148.49x = 912,724.01 × 431,336.28
  4. Step 4: Simplify right side
    609,148.49x = 393,690,976,983.40
  5. Step 5: Solve for x
    x = 393,690,976,983.40/609,148.49
  6. Step 6: Final answer
    x = 646,297.22

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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.