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Finding the Fourth Proportional to 506,994.61, 699,652.57 and 280,640.11

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Solution

The fourth proportional to 506,994.61, 699,652.57 and 280,640.11 is: 387,283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,994.61 : 699,652.57 = 280,640.11 : x
  2. Step 2: Convert to fraction form
    506,994.61/699,652.57 = 280,640.11/x
  3. Step 3: Cross multiply
    506,994.61x = 699,652.57 × 280,640.11
  4. Step 4: Simplify right side
    506,994.61x = 196,350,573,593.90
  5. Step 5: Solve for x
    x = 196,350,573,593.90/506,994.61
  6. Step 6: Final answer
    x = 387,283.36

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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.