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Finding the Fourth Proportional to 518,350.32, 777,564.90 and 176,687.64

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Solution

The fourth proportional to 518,350.32, 777,564.90 and 176,687.64 is: 265,044.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,350.32 : 777,564.90 = 176,687.64 : x
  2. Step 2: Convert to fraction form
    518,350.32/777,564.90 = 176,687.64/x
  3. Step 3: Cross multiply
    518,350.32x = 777,564.90 × 176,687.64
  4. Step 4: Simplify right side
    518,350.32x = 137,386,107,127.84
  5. Step 5: Solve for x
    x = 137,386,107,127.84/518,350.32
  6. Step 6: Final answer
    x = 265,044.90

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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.