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Finding the Fourth Proportional to 521,488.95, 782,354.73 and 161,640.71

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Solution

The fourth proportional to 521,488.95, 782,354.73 and 161,640.71 is: 242,498.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,488.95 : 782,354.73 = 161,640.71 : x
  2. Step 2: Convert to fraction form
    521,488.95/782,354.73 = 161,640.71/x
  3. Step 3: Cross multiply
    521,488.95x = 782,354.73 × 161,640.71
  4. Step 4: Simplify right side
    521,488.95x = 126,460,373,657.27
  5. Step 5: Solve for x
    x = 126,460,373,657.27/521,488.95
  6. Step 6: Final answer
    x = 242,498.67

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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.