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Finding the Fourth Proportional to 878,473.80, 1,317,710.70 and 523,888.20

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Solution

The fourth proportional to 878,473.80, 1,317,710.70 and 523,888.20 is: 785,832.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,473.80 : 1,317,710.70 = 523,888.20 : x
  2. Step 2: Convert to fraction form
    878,473.80/1,317,710.70 = 523,888.20/x
  3. Step 3: Cross multiply
    878,473.80x = 1,317,710.70 × 523,888.20
  4. Step 4: Simplify right side
    878,473.80x = 690,333,086,743.74
  5. Step 5: Solve for x
    x = 690,333,086,743.74/878,473.80
  6. Step 6: Final answer
    x = 785,832.30

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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.