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Finding the Fourth Proportional to 456,886.40, 686,107.20 and 338,691.20

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Solution

The fourth proportional to 456,886.40, 686,107.20 and 338,691.20 is: 508,613.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,886.40 : 686,107.20 = 338,691.20 : x
  2. Step 2: Convert to fraction form
    456,886.40/686,107.20 = 338,691.20/x
  3. Step 3: Cross multiply
    456,886.40x = 686,107.20 × 338,691.20
  4. Step 4: Simplify right side
    456,886.40x = 232,378,470,896.64
  5. Step 5: Solve for x
    x = 232,378,470,896.64/456,886.40
  6. Step 6: Final answer
    x = 508,613.24

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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.