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Finding the Fourth Proportional to 658,497.40, 988,206.90 and 422,414.20

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Solution

The fourth proportional to 658,497.40, 988,206.90 and 422,414.20 is: 633,916.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,497.40 : 988,206.90 = 422,414.20 : x
  2. Step 2: Convert to fraction form
    658,497.40/988,206.90 = 422,414.20/x
  3. Step 3: Cross multiply
    658,497.40x = 988,206.90 × 422,414.20
  4. Step 4: Simplify right side
    658,497.40x = 417,432,627,097.98
  5. Step 5: Solve for x
    x = 417,432,627,097.98/658,497.40
  6. Step 6: Final answer
    x = 633,916.89

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1.5x scale

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.