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Finding the Fourth Proportional to 418,772.80, 578,009.11 and 237,590.78

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Solution

The fourth proportional to 418,772.80, 578,009.11 and 237,590.78 is: 327,933.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,772.80 : 578,009.11 = 237,590.78 : x
  2. Step 2: Convert to fraction form
    418,772.80/578,009.11 = 237,590.78/x
  3. Step 3: Cross multiply
    418,772.80x = 578,009.11 × 237,590.78
  4. Step 4: Simplify right side
    418,772.80x = 137,329,636,143.05
  5. Step 5: Solve for x
    x = 137,329,636,143.05/418,772.80
  6. Step 6: Final answer
    x = 327,933.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.