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Finding the Fourth Proportional to 561,651,346.80, 842,477,020.20 and 255,541,330.80

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Solution

The fourth proportional to 561,651,346.80, 842,477,020.20 and 255,541,330.80 is: 383,311,996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,651,346.80 : 842,477,020.20 = 255,541,330.80 : x
  2. Step 2: Convert to fraction form
    561,651,346.80/842,477,020.20 = 255,541,330.80/x
  3. Step 3: Cross multiply
    561,651,346.80x = 842,477,020.20 × 255,541,330.80
  4. Step 4: Simplify right side
    561,651,346.80x = 215,287,698,910,326,496
  5. Step 5: Solve for x
    x = 215,287,698,910,326,496/561,651,346.80
  6. Step 6: Final answer
    x = 383,311,996.20

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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.