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Finding the Fourth Proportional to 716,498.40, 988,909.20 and 410,780.16

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Solution

The fourth proportional to 716,498.40, 988,909.20 and 410,780.16 is: 566,957.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,498.40 : 988,909.20 = 410,780.16 : x
  2. Step 2: Convert to fraction form
    716,498.40/988,909.20 = 410,780.16/x
  3. Step 3: Cross multiply
    716,498.40x = 988,909.20 × 410,780.16
  4. Step 4: Simplify right side
    716,498.40x = 406,224,279,401.47
  5. Step 5: Solve for x
    x = 406,224,279,401.47/716,498.40
  6. Step 6: Final answer
    x = 566,957.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.