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Finding the Fourth Proportional to 457,348.40, 686,022.92 and 190,963.76

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Solution

The fourth proportional to 457,348.40, 686,022.92 and 190,963.76 is: 286,445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,348.40 : 686,022.92 = 190,963.76 : x
  2. Step 2: Convert to fraction form
    457,348.40/686,022.92 = 190,963.76/x
  3. Step 3: Cross multiply
    457,348.40x = 686,022.92 × 190,963.76
  4. Step 4: Simplify right side
    457,348.40x = 131,005,516,249.38
  5. Step 5: Solve for x
    x = 131,005,516,249.38/457,348.40
  6. Step 6: Final answer
    x = 286,445.77

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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.