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Finding the Fourth Proportional to 578,046.80, 865,841.40 and 378,981.20

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Solution

The fourth proportional to 578,046.80, 865,841.40 and 378,981.20 is: 567,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,046.80 : 865,841.40 = 378,981.20 : x
  2. Step 2: Convert to fraction form
    578,046.80/865,841.40 = 378,981.20/x
  3. Step 3: Cross multiply
    578,046.80x = 865,841.40 × 378,981.20
  4. Step 4: Simplify right side
    578,046.80x = 328,137,612,781.68
  5. Step 5: Solve for x
    x = 328,137,612,781.68/578,046.80
  6. Step 6: Final answer
    x = 567,666.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.