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Finding the Fourth Proportional to 282,442.76, 389,769.50 and 153,380.10

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Solution

The fourth proportional to 282,442.76, 389,769.50 and 153,380.10 is: 211,663.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,442.76 : 389,769.50 = 153,380.10 : x
  2. Step 2: Convert to fraction form
    282,442.76/389,769.50 = 153,380.10/x
  3. Step 3: Cross multiply
    282,442.76x = 389,769.50 × 153,380.10
  4. Step 4: Simplify right side
    282,442.76x = 59,782,884,120.05
  5. Step 5: Solve for x
    x = 59,782,884,120.05/282,442.76
  6. Step 6: Final answer
    x = 211,663.72

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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.