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Finding the Fourth Proportional to 571,082.74, 788,084.85 and 312,957.70

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Solution

The fourth proportional to 571,082.74, 788,084.85 and 312,957.70 is: 431,876.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,082.74 : 788,084.85 = 312,957.70 : x
  2. Step 2: Convert to fraction form
    571,082.74/788,084.85 = 312,957.70/x
  3. Step 3: Cross multiply
    571,082.74x = 788,084.85 × 312,957.70
  4. Step 4: Simplify right side
    571,082.74x = 246,637,222,060.85
  5. Step 5: Solve for x
    x = 246,637,222,060.85/571,082.74
  6. Step 6: Final answer
    x = 431,876.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.