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Finding the Fourth Proportional to 458,870,546.60, 687,815,700.85 and 261,709,478.54

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Solution

The fourth proportional to 458,870,546.60, 687,815,700.85 and 261,709,478.54 is: 392,284,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,870,546.60 : 687,815,700.85 = 261,709,478.54 : x
  2. Step 2: Convert to fraction form
    458,870,546.60/687,815,700.85 = 261,709,478.54/x
  3. Step 3: Cross multiply
    458,870,546.60x = 687,815,700.85 × 261,709,478.54
  4. Step 4: Simplify right side
    458,870,546.60x = 180,007,888,401,078,144
  5. Step 5: Solve for x
    x = 180,007,888,401,078,144/458,870,546.60
  6. Step 6: Final answer
    x = 392,284,686.25

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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.