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Finding the Fourth Proportional to 493,639.70, 740,488.25 and 138,681.40

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Solution

The fourth proportional to 493,639.70, 740,488.25 and 138,681.40 is: 208,030.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,639.70 : 740,488.25 = 138,681.40 : x
  2. Step 2: Convert to fraction form
    493,639.70/740,488.25 = 138,681.40/x
  3. Step 3: Cross multiply
    493,639.70x = 740,488.25 × 138,681.40
  4. Step 4: Simplify right side
    493,639.70x = 102,691,944,799.80
  5. Step 5: Solve for x
    x = 102,691,944,799.80/493,639.70
  6. Step 6: Final answer
    x = 208,030.16

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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.