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Finding the Fourth Proportional to 566,712.31, 782,034.92 and 312,015.91

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Solution

The fourth proportional to 566,712.31, 782,034.92 and 312,015.91 is: 430,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,712.31 : 782,034.92 = 312,015.91 : x
  2. Step 2: Convert to fraction form
    566,712.31/782,034.92 = 312,015.91/x
  3. Step 3: Cross multiply
    566,712.31x = 782,034.92 × 312,015.91
  4. Step 4: Simplify right side
    566,712.31x = 244,007,337,215.58
  5. Step 5: Solve for x
    x = 244,007,337,215.58/566,712.31
  6. Step 6: Final answer
    x = 430,566.50

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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.