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Finding the Fourth Proportional to 340,258, 510,215.40 and 198,149.20

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Solution

The fourth proportional to 340,258, 510,215.40 and 198,149.20 is: 297,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,258 : 510,215.40 = 198,149.20 : x
  2. Step 2: Convert to fraction form
    340,258/510,215.40 = 198,149.20/x
  3. Step 3: Cross multiply
    340,258x = 510,215.40 × 198,149.20
  4. Step 4: Simplify right side
    340,258x = 101,098,773,337.68
  5. Step 5: Solve for x
    x = 101,098,773,337.68/340,258
  6. Step 6: Final answer
    x = 297,123.87

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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.