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Finding the Fourth Proportional to 314,980,987.80, 472,471,481.70 and 176,664,610.20

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Solution

The fourth proportional to 314,980,987.80, 472,471,481.70 and 176,664,610.20 is: 264,996,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,980,987.80 : 472,471,481.70 = 176,664,610.20 : x
  2. Step 2: Convert to fraction form
    314,980,987.80/472,471,481.70 = 176,664,610.20/x
  3. Step 3: Cross multiply
    314,980,987.80x = 472,471,481.70 × 176,664,610.20
  4. Step 4: Simplify right side
    314,980,987.80x = 83,468,990,145,146,928
  5. Step 5: Solve for x
    x = 83,468,990,145,146,928/314,980,987.80
  6. Step 6: Final answer
    x = 264,996,915.30

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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.