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Finding the Fourth Proportional to 518,400.71, 777,732.13 and 144,423.71

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Solution

The fourth proportional to 518,400.71, 777,732.13 and 144,423.71 is: 216,672.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,400.71 : 777,732.13 = 144,423.71 : x
  2. Step 2: Convert to fraction form
    518,400.71/777,732.13 = 144,423.71/x
  3. Step 3: Cross multiply
    518,400.71x = 777,732.13 × 144,423.71
  4. Step 4: Simplify right side
    518,400.71x = 112,322,958,809.17
  5. Step 5: Solve for x
    x = 112,322,958,809.17/518,400.71
  6. Step 6: Final answer
    x = 216,672.08

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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.