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Finding the Fourth Proportional to 418,984.61, 578,211.80 and 237,704.18

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Solution

The fourth proportional to 418,984.61, 578,211.80 and 237,704.18 is: 328,039.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,984.61 : 578,211.80 = 237,704.18 : x
  2. Step 2: Convert to fraction form
    418,984.61/578,211.80 = 237,704.18/x
  3. Step 3: Cross multiply
    418,984.61x = 578,211.80 × 237,704.18
  4. Step 4: Simplify right side
    418,984.61x = 137,443,357,705.74
  5. Step 5: Solve for x
    x = 137,443,357,705.74/418,984.61
  6. Step 6: Final answer
    x = 328,039.16

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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.