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Finding the Fourth Proportional to 518,406.75, 777,654.68 and 144,429.75

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Solution

The fourth proportional to 518,406.75, 777,654.68 and 144,429.75 is: 216,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,406.75 : 777,654.68 = 144,429.75 : x
  2. Step 2: Convert to fraction form
    518,406.75/777,654.68 = 144,429.75/x
  3. Step 3: Cross multiply
    518,406.75x = 777,654.68 × 144,429.75
  4. Step 4: Simplify right side
    518,406.75x = 112,316,471,018.73
  5. Step 5: Solve for x
    x = 112,316,471,018.73/518,406.75
  6. Step 6: Final answer
    x = 216,657.04

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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.