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Finding the Fourth Proportional to 493,780.56, 740,940.48 and 209,426.88

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Solution

The fourth proportional to 493,780.56, 740,940.48 and 209,426.88 is: 314,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,780.56 : 740,940.48 = 209,426.88 : x
  2. Step 2: Convert to fraction form
    493,780.56/740,940.48 = 209,426.88/x
  3. Step 3: Cross multiply
    493,780.56x = 740,940.48 × 209,426.88
  4. Step 4: Simplify right side
    493,780.56x = 155,172,852,992.10
  5. Step 5: Solve for x
    x = 155,172,852,992.10/493,780.56
  6. Step 6: Final answer
    x = 314,254.68

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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.