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Finding the Fourth Proportional to 499,065.76, 749,103.28 and 442,501.84

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Solution

The fourth proportional to 499,065.76, 749,103.28 and 442,501.84 is: 664,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,065.76 : 749,103.28 = 442,501.84 : x
  2. Step 2: Convert to fraction form
    499,065.76/749,103.28 = 442,501.84/x
  3. Step 3: Cross multiply
    499,065.76x = 749,103.28 × 442,501.84
  4. Step 4: Simplify right side
    499,065.76x = 331,479,579,750.04
  5. Step 5: Solve for x
    x = 331,479,579,750.04/499,065.76
  6. Step 6: Final answer
    x = 664,200.20

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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.