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Finding the Fourth Proportional to 457,298.40, 686,725.20 and 339,103.20

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Solution

The fourth proportional to 457,298.40, 686,725.20 and 339,103.20 is: 509,231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,298.40 : 686,725.20 = 339,103.20 : x
  2. Step 2: Convert to fraction form
    457,298.40/686,725.20 = 339,103.20/x
  3. Step 3: Cross multiply
    457,298.40x = 686,725.20 × 339,103.20
  4. Step 4: Simplify right side
    457,298.40x = 232,870,712,840.64
  5. Step 5: Solve for x
    x = 232,870,712,840.64/457,298.40
  6. Step 6: Final answer
    x = 509,231.42

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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.