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Finding the Fourth Proportional to 518,416, 777,624 and 124,432

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Solution

The fourth proportional to 518,416, 777,624 and 124,432 is: 186,648

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,416 : 777,624 = 124,432 : x
  2. Step 2: Convert to fraction form
    518,416/777,624 = 124,432/x
  3. Step 3: Cross multiply
    518,416x = 777,624 × 124,432
  4. Step 4: Simplify right side
    518,416x = 96,761,309,568
  5. Step 5: Solve for x
    x = 96,761,309,568/518,416
  6. Step 6: Final answer
    x = 186,648

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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.