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Finding the Fourth Proportional to 282,437.76, 389,592.94 and 167,640.76

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Solution

The fourth proportional to 282,437.76, 389,592.94 and 167,640.76 is: 231,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,437.76 : 389,592.94 = 167,640.76 : x
  2. Step 2: Convert to fraction form
    282,437.76/389,592.94 = 167,640.76/x
  3. Step 3: Cross multiply
    282,437.76x = 389,592.94 × 167,640.76
  4. Step 4: Simplify right side
    282,437.76x = 65,311,656,552.23
  5. Step 5: Solve for x
    x = 65,311,656,552.23/282,437.76
  6. Step 6: Final answer
    x = 231,242.65

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1.5x scale

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.