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Finding the Fourth Proportional to 385,806.28, 532,552.38 and 314,061.76

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Solution

The fourth proportional to 385,806.28, 532,552.38 and 314,061.76 is: 433,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,806.28 : 532,552.38 = 314,061.76 : x
  2. Step 2: Convert to fraction form
    385,806.28/532,552.38 = 314,061.76/x
  3. Step 3: Cross multiply
    385,806.28x = 532,552.38 × 314,061.76
  4. Step 4: Simplify right side
    385,806.28x = 167,254,337,754.99
  5. Step 5: Solve for x
    x = 167,254,337,754.99/385,806.28
  6. Step 6: Final answer
    x = 433,518.96

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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.