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Finding the Fourth Proportional to 280,552,458.60, 420,828,687.90 and 86,446,585.80

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Solution

The fourth proportional to 280,552,458.60, 420,828,687.90 and 86,446,585.80 is: 129,669,878.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,552,458.60 : 420,828,687.90 = 86,446,585.80 : x
  2. Step 2: Convert to fraction form
    280,552,458.60/420,828,687.90 = 86,446,585.80/x
  3. Step 3: Cross multiply
    280,552,458.60x = 420,828,687.90 × 86,446,585.80
  4. Step 4: Simplify right side
    280,552,458.60x = 36,379,203,275,648,768
  5. Step 5: Solve for x
    x = 36,379,203,275,648,768/280,552,458.60
  6. Step 6: Final answer
    x = 129,669,878.70

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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.