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Finding the Fourth Proportional to 321,046.76, 482,041.70 and 315,376.96

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Solution

The fourth proportional to 321,046.76, 482,041.70 and 315,376.96 is: 473,528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,046.76 : 482,041.70 = 315,376.96 : x
  2. Step 2: Convert to fraction form
    321,046.76/482,041.70 = 315,376.96/x
  3. Step 3: Cross multiply
    321,046.76x = 482,041.70 × 315,376.96
  4. Step 4: Simplify right side
    321,046.76x = 152,024,845,939.23
  5. Step 5: Solve for x
    x = 152,024,845,939.23/321,046.76
  6. Step 6: Final answer
    x = 473,528.67

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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.