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Finding the Fourth Proportional to 497,891.70, 746,948.59 and 142,878.06

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Solution

The fourth proportional to 497,891.70, 746,948.59 and 142,878.06 is: 214,348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,891.70 : 746,948.59 = 142,878.06 : x
  2. Step 2: Convert to fraction form
    497,891.70/746,948.59 = 142,878.06/x
  3. Step 3: Cross multiply
    497,891.70x = 746,948.59 × 142,878.06
  4. Step 4: Simplify right side
    497,891.70x = 106,722,565,101.74
  5. Step 5: Solve for x
    x = 106,722,565,101.74/497,891.70
  6. Step 6: Final answer
    x = 214,348.95

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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.