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Finding the Fourth Proportional to 280,552,437.60, 420,828,656.40 and 86,446,564.80

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Solution

The fourth proportional to 280,552,437.60, 420,828,656.40 and 86,446,564.80 is: 129,669,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,552,437.60 : 420,828,656.40 = 86,446,564.80 : x
  2. Step 2: Convert to fraction form
    280,552,437.60/420,828,656.40 = 86,446,564.80/x
  3. Step 3: Cross multiply
    280,552,437.60x = 420,828,656.40 × 86,446,564.80
  4. Step 4: Simplify right side
    280,552,437.60x = 36,379,191,715,179,528
  5. Step 5: Solve for x
    x = 36,379,191,715,179,528/280,552,437.60
  6. Step 6: Final answer
    x = 129,669,847.20

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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.