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Finding the Fourth Proportional to 527,909.28, 728,343.54 and 298,444.38

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Solution

The fourth proportional to 527,909.28, 728,343.54 and 298,444.38 is: 411,756.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,909.28 : 728,343.54 = 298,444.38 : x
  2. Step 2: Convert to fraction form
    527,909.28/728,343.54 = 298,444.38/x
  3. Step 3: Cross multiply
    527,909.28x = 728,343.54 × 298,444.38
  4. Step 4: Simplify right side
    527,909.28x = 217,370,036,222.31
  5. Step 5: Solve for x
    x = 217,370,036,222.31/527,909.28
  6. Step 6: Final answer
    x = 411,756.42

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1.5x scale

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.