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Finding the Fourth Proportional to 280,552,685.10, 420,829,027.65 and 86,446,812.30

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Solution

The fourth proportional to 280,552,685.10, 420,829,027.65 and 86,446,812.30 is: 129,670,218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,552,685.10 : 420,829,027.65 = 86,446,812.30 : x
  2. Step 2: Convert to fraction form
    280,552,685.10/420,829,027.65 = 86,446,812.30/x
  3. Step 3: Cross multiply
    280,552,685.10x = 420,829,027.65 × 86,446,812.30
  4. Step 4: Simplify right side
    280,552,685.10x = 36,379,327,963,651,056
  5. Step 5: Solve for x
    x = 36,379,327,963,651,056/280,552,685.10
  6. Step 6: Final answer
    x = 129,670,218.45

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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.