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Finding the Fourth Proportional to 527,792.42, 728,335.83 and 312,804.86

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Solution

The fourth proportional to 527,792.42, 728,335.83 and 312,804.86 is: 431,660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,792.42 : 728,335.83 = 312,804.86 : x
  2. Step 2: Convert to fraction form
    527,792.42/728,335.83 = 312,804.86/x
  3. Step 3: Cross multiply
    527,792.42x = 728,335.83 × 312,804.86
  4. Step 4: Simplify right side
    527,792.42x = 227,826,984,473.58
  5. Step 5: Solve for x
    x = 227,826,984,473.58/527,792.42
  6. Step 6: Final answer
    x = 431,660.20

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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.