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Finding the Fourth Proportional to 491,528.72, 736,112.10 and 280,526.96

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Solution

The fourth proportional to 491,528.72, 736,112.10 and 280,526.96 is: 420,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,528.72 : 736,112.10 = 280,526.96 : x
  2. Step 2: Convert to fraction form
    491,528.72/736,112.10 = 280,526.96/x
  3. Step 3: Cross multiply
    491,528.72x = 736,112.10 × 280,526.96
  4. Step 4: Simplify right side
    491,528.72x = 206,499,289,632.22
  5. Step 5: Solve for x
    x = 206,499,289,632.22/491,528.72
  6. Step 6: Final answer
    x = 420,116.43

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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.