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Finding the Fourth Proportional to 321,043.76, 482,037.20 and 315,373.96

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Solution

The fourth proportional to 321,043.76, 482,037.20 and 315,373.96 is: 473,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,043.76 : 482,037.20 = 315,373.96 : x
  2. Step 2: Convert to fraction form
    321,043.76/482,037.20 = 315,373.96/x
  3. Step 3: Cross multiply
    321,043.76x = 482,037.20 × 315,373.96
  4. Step 4: Simplify right side
    321,043.76x = 152,021,980,631.31
  5. Step 5: Solve for x
    x = 152,021,980,631.31/321,043.76
  6. Step 6: Final answer
    x = 473,524.17

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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.