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Finding the Fourth Proportional to 282,900.87, 423,964.80 and 156,353.76

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Solution

The fourth proportional to 282,900.87, 423,964.80 and 156,353.76 is: 234,317.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,900.87 : 423,964.80 = 156,353.76 : x
  2. Step 2: Convert to fraction form
    282,900.87/423,964.80 = 156,353.76/x
  3. Step 3: Cross multiply
    282,900.87x = 423,964.80 × 156,353.76
  4. Step 4: Simplify right side
    282,900.87x = 66,288,490,587.65
  5. Step 5: Solve for x
    x = 66,288,490,587.65/282,900.87
  6. Step 6: Final answer
    x = 234,317.03

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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.