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Finding the Fourth Proportional to 493,641.20, 740,490.50 and 138,682.89

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Solution

The fourth proportional to 493,641.20, 740,490.50 and 138,682.89 is: 208,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,641.20 : 740,490.50 = 138,682.89 : x
  2. Step 2: Convert to fraction form
    493,641.20/740,490.50 = 138,682.89/x
  3. Step 3: Cross multiply
    493,641.20x = 740,490.50 × 138,682.89
  4. Step 4: Simplify right side
    493,641.20x = 102,693,361,864.13
  5. Step 5: Solve for x
    x = 102,693,361,864.13/493,641.20
  6. Step 6: Final answer
    x = 208,032.40

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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.