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Finding the Fourth Proportional to 518,823.68, 778,177.17 and 139,772.42

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Solution

The fourth proportional to 518,823.68, 778,177.17 and 139,772.42 is: 209,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,823.68 : 778,177.17 = 139,772.42 : x
  2. Step 2: Convert to fraction form
    518,823.68/778,177.17 = 139,772.42/x
  3. Step 3: Cross multiply
    518,823.68x = 778,177.17 × 139,772.42
  4. Step 4: Simplify right side
    518,823.68x = 108,767,706,239.65
  5. Step 5: Solve for x
    x = 108,767,706,239.65/518,823.68
  6. Step 6: Final answer
    x = 209,642.91

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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.