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Finding the Fourth Proportional to 282,564.32, 423,431.76 and 142,129.76

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Solution

The fourth proportional to 282,564.32, 423,431.76 and 142,129.76 is: 212,986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,564.32 : 423,431.76 = 142,129.76 : x
  2. Step 2: Convert to fraction form
    282,564.32/423,431.76 = 142,129.76/x
  3. Step 3: Cross multiply
    282,564.32x = 423,431.76 × 142,129.76
  4. Step 4: Simplify right side
    282,564.32x = 60,182,254,425.18
  5. Step 5: Solve for x
    x = 60,182,254,425.18/282,564.32
  6. Step 6: Final answer
    x = 212,986.04

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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.