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Finding the Fourth Proportional to 282,312, 389,540.25 and 159,803.76

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Solution

The fourth proportional to 282,312, 389,540.25 and 159,803.76 is: 220,500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,312 : 389,540.25 = 159,803.76 : x
  2. Step 2: Convert to fraction form
    282,312/389,540.25 = 159,803.76/x
  3. Step 3: Cross multiply
    282,312x = 389,540.25 × 159,803.76
  4. Step 4: Simplify right side
    282,312x = 62,249,996,621.34
  5. Step 5: Solve for x
    x = 62,249,996,621.34/282,312
  6. Step 6: Final answer
    x = 220,500.71

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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.