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Finding the Fourth Proportional to 865,242.80, 1,194,028.04 and 478,057

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Solution

The fourth proportional to 865,242.80, 1,194,028.04 and 478,057 is: 659,714.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,242.80 : 1,194,028.04 = 478,057 : x
  2. Step 2: Convert to fraction form
    865,242.80/1,194,028.04 = 478,057/x
  3. Step 3: Cross multiply
    865,242.80x = 1,194,028.04 × 478,057
  4. Step 4: Simplify right side
    865,242.80x = 570,813,462,718.28
  5. Step 5: Solve for x
    x = 570,813,462,718.28/865,242.80
  6. Step 6: Final answer
    x = 659,714.78

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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.