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Finding the Fourth Proportional to 992,389,944.80, 1,488,584,917.20 and 409,930,608.80

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Solution

The fourth proportional to 992,389,944.80, 1,488,584,917.20 and 409,930,608.80 is: 614,895,913.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,389,944.80 : 1,488,584,917.20 = 409,930,608.80 : x
  2. Step 2: Convert to fraction form
    992,389,944.80/1,488,584,917.20 = 409,930,608.80/x
  3. Step 3: Cross multiply
    992,389,944.80x = 1,488,584,917.20 × 409,930,608.80
  4. Step 4: Simplify right side
    992,389,944.80x = 610,216,521,358,293,632
  5. Step 5: Solve for x
    x = 610,216,521,358,293,632/992,389,944.80
  6. Step 6: Final answer
    x = 614,895,913.20

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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.