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Finding the Fourth Proportional to 282,544.32, 423,401.76 and 142,109.76

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Solution

The fourth proportional to 282,544.32, 423,401.76 and 142,109.76 is: 212,956.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,544.32 : 423,401.76 = 142,109.76 : x
  2. Step 2: Convert to fraction form
    282,544.32/423,401.76 = 142,109.76/x
  3. Step 3: Cross multiply
    282,544.32x = 423,401.76 × 142,109.76
  4. Step 4: Simplify right side
    282,544.32x = 60,169,522,497.18
  5. Step 5: Solve for x
    x = 60,169,522,497.18/282,544.32
  6. Step 6: Final answer
    x = 212,956.05

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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.