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Finding the Fourth Proportional to 678,098, 935,819.08 and 376,292

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Solution

The fourth proportional to 678,098, 935,819.08 and 376,292 is: 519,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,098 : 935,819.08 = 376,292 : x
  2. Step 2: Convert to fraction form
    678,098/935,819.08 = 376,292/x
  3. Step 3: Cross multiply
    678,098x = 935,819.08 × 376,292
  4. Step 4: Simplify right side
    678,098x = 352,141,233,251.36
  5. Step 5: Solve for x
    x = 352,141,233,251.36/678,098
  6. Step 6: Final answer
    x = 519,307.29

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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.