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Finding the Fourth Proportional to 282,396.80, 423,595.20 and 142,428.80

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Solution

The fourth proportional to 282,396.80, 423,595.20 and 142,428.80 is: 213,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,396.80 : 423,595.20 = 142,428.80 : x
  2. Step 2: Convert to fraction form
    282,396.80/423,595.20 = 142,428.80/x
  3. Step 3: Cross multiply
    282,396.80x = 423,595.20 × 142,428.80
  4. Step 4: Simplify right side
    282,396.80x = 60,332,156,021.76
  5. Step 5: Solve for x
    x = 60,332,156,021.76/282,396.80
  6. Step 6: Final answer
    x = 213,643.20

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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.