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Finding the Fourth Proportional to 686,859.40, 1,029,809.10 and 406,232.20

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Solution

The fourth proportional to 686,859.40, 1,029,809.10 and 406,232.20 is: 609,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,859.40 : 1,029,809.10 = 406,232.20 : x
  2. Step 2: Convert to fraction form
    686,859.40/1,029,809.10 = 406,232.20/x
  3. Step 3: Cross multiply
    686,859.40x = 1,029,809.10 × 406,232.20
  4. Step 4: Simplify right side
    686,859.40x = 418,341,616,273.02
  5. Step 5: Solve for x
    x = 418,341,616,273.02/686,859.40
  6. Step 6: Final answer
    x = 609,064.41

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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.