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Finding the Fourth Proportional to 282,442.68, 423,735.72 and 130,749.12

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Solution

The fourth proportional to 282,442.68, 423,735.72 and 130,749.12 is: 196,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,442.68 : 423,735.72 = 130,749.12 : x
  2. Step 2: Convert to fraction form
    282,442.68/423,735.72 = 130,749.12/x
  3. Step 3: Cross multiply
    282,442.68x = 423,735.72 × 130,749.12
  4. Step 4: Simplify right side
    282,442.68x = 55,403,070,710.76
  5. Step 5: Solve for x
    x = 55,403,070,710.76/282,442.68
  6. Step 6: Final answer
    x = 196,156.87

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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.