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Finding the Fourth Proportional to 787,565, 1,086,839.70 and 429,869

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Solution

The fourth proportional to 787,565, 1,086,839.70 and 429,869 is: 593,219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,565 : 1,086,839.70 = 429,869 : x
  2. Step 2: Convert to fraction form
    787,565/1,086,839.70 = 429,869/x
  3. Step 3: Cross multiply
    787,565x = 1,086,839.70 × 429,869
  4. Step 4: Simplify right side
    787,565x = 467,198,694,999.30
  5. Step 5: Solve for x
    x = 467,198,694,999.30/787,565
  6. Step 6: Final answer
    x = 593,219.22

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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.