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Finding the Fourth Proportional to 497,392.92, 686,377.80 and 282,504.78

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Solution

The fourth proportional to 497,392.92, 686,377.80 and 282,504.78 is: 389,842.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,392.92 : 686,377.80 = 282,504.78 : x
  2. Step 2: Convert to fraction form
    497,392.92/686,377.80 = 282,504.78/x
  3. Step 3: Cross multiply
    497,392.92x = 686,377.80 × 282,504.78
  4. Step 4: Simplify right side
    497,392.92x = 193,905,009,385.88
  5. Step 5: Solve for x
    x = 193,905,009,385.88/497,392.92
  6. Step 6: Final answer
    x = 389,842.72

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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.