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Finding the Fourth Proportional to 390,463.60, 585,082.80 and 232,605.76

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Solution

The fourth proportional to 390,463.60, 585,082.80 and 232,605.76 is: 348,543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,463.60 : 585,082.80 = 232,605.76 : x
  2. Step 2: Convert to fraction form
    390,463.60/585,082.80 = 232,605.76/x
  3. Step 3: Cross multiply
    390,463.60x = 585,082.80 × 232,605.76
  4. Step 4: Simplify right side
    390,463.60x = 136,093,629,356.93
  5. Step 5: Solve for x
    x = 136,093,629,356.93/390,463.60
  6. Step 6: Final answer
    x = 348,543.70

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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.