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Finding the Fourth Proportional to 418,877.98, 578,061.60 and 237,602.14

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Solution

The fourth proportional to 418,877.98, 578,061.60 and 237,602.14 is: 327,896.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,877.98 : 578,061.60 = 237,602.14 : x
  2. Step 2: Convert to fraction form
    418,877.98/578,061.60 = 237,602.14/x
  3. Step 3: Cross multiply
    418,877.98x = 578,061.60 × 237,602.14
  4. Step 4: Simplify right side
    418,877.98x = 137,348,670,875.66
  5. Step 5: Solve for x
    x = 137,348,670,875.66/418,877.98
  6. Step 6: Final answer
    x = 327,896.61

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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.