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Finding the Fourth Proportional to 442,886.15, 663,330.42 and 205,729.76

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Solution

The fourth proportional to 442,886.15, 663,330.42 and 205,729.76 is: 308,130.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,886.15 : 663,330.42 = 205,729.76 : x
  2. Step 2: Convert to fraction form
    442,886.15/663,330.42 = 205,729.76/x
  3. Step 3: Cross multiply
    442,886.15x = 663,330.42 × 205,729.76
  4. Step 4: Simplify right side
    442,886.15x = 136,466,808,107.30
  5. Step 5: Solve for x
    x = 136,466,808,107.30/442,886.15
  6. Step 6: Final answer
    x = 308,130.67

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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.