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Finding the Fourth Proportional to 880,842, 1,215,563.18 and 478,434

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Solution

The fourth proportional to 880,842, 1,215,563.18 and 478,434 is: 660,239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,842 : 1,215,563.18 = 478,434 : x
  2. Step 2: Convert to fraction form
    880,842/1,215,563.18 = 478,434/x
  3. Step 3: Cross multiply
    880,842x = 1,215,563.18 × 478,434
  4. Step 4: Simplify right side
    880,842x = 581,566,752,067.95
  5. Step 5: Solve for x
    x = 581,566,752,067.95/880,842
  6. Step 6: Final answer
    x = 660,239.58

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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.