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Finding the Fourth Proportional to 497,686.32, 686,807.10 and 282,826.80

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Solution

The fourth proportional to 497,686.32, 686,807.10 and 282,826.80 is: 390,300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,686.32 : 686,807.10 = 282,826.80 : x
  2. Step 2: Convert to fraction form
    497,686.32/686,807.10 = 282,826.80/x
  3. Step 3: Cross multiply
    497,686.32x = 686,807.10 × 282,826.80
  4. Step 4: Simplify right side
    497,686.32x = 194,247,454,310.28
  5. Step 5: Solve for x
    x = 194,247,454,310.28/497,686.32
  6. Step 6: Final answer
    x = 390,300.97

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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.