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Finding the Fourth Proportional to 493,565.12, 740,240.72 and 288,262.55

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Solution

The fourth proportional to 493,565.12, 740,240.72 and 288,262.55 is: 432,331.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,565.12 : 740,240.72 = 288,262.55 : x
  2. Step 2: Convert to fraction form
    493,565.12/740,240.72 = 288,262.55/x
  3. Step 3: Cross multiply
    493,565.12x = 740,240.72 × 288,262.55
  4. Step 4: Simplify right side
    493,565.12x = 213,383,677,561.04
  5. Step 5: Solve for x
    x = 213,383,677,561.04/493,565.12
  6. Step 6: Final answer
    x = 432,331.36

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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.