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Finding the Fourth Proportional to 418,781.06, 578,020.50 and 237,599.04

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Solution

The fourth proportional to 418,781.06, 578,020.50 and 237,599.04 is: 327,944.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,781.06 : 578,020.50 = 237,599.04 : x
  2. Step 2: Convert to fraction form
    418,781.06/578,020.50 = 237,599.04/x
  3. Step 3: Cross multiply
    418,781.06x = 578,020.50 × 237,599.04
  4. Step 4: Simplify right side
    418,781.06x = 137,337,115,900.32
  5. Step 5: Solve for x
    x = 137,337,115,900.32/418,781.06
  6. Step 6: Final answer
    x = 327,944.91

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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.