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Finding the Fourth Proportional to 314,211.60, 472,301.55 and 308,306.70

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Solution

The fourth proportional to 314,211.60, 472,301.55 and 308,306.70 is: 463,425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,211.60 : 472,301.55 = 308,306.70 : x
  2. Step 2: Convert to fraction form
    314,211.60/472,301.55 = 308,306.70/x
  3. Step 3: Cross multiply
    314,211.60x = 472,301.55 × 308,306.70
  4. Step 4: Simplify right side
    314,211.60x = 145,613,732,285.39
  5. Step 5: Solve for x
    x = 145,613,732,285.39/314,211.60
  6. Step 6: Final answer
    x = 463,425.71

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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.