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Finding the Fourth Proportional to 508,543.20, 762,328.80 and 188,609.40

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Solution

The fourth proportional to 508,543.20, 762,328.80 and 188,609.40 is: 282,733.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,543.20 : 762,328.80 = 188,609.40 : x
  2. Step 2: Convert to fraction form
    508,543.20/762,328.80 = 188,609.40/x
  3. Step 3: Cross multiply
    508,543.20x = 762,328.80 × 188,609.40
  4. Step 4: Simplify right side
    508,543.20x = 143,782,377,570.72
  5. Step 5: Solve for x
    x = 143,782,377,570.72/508,543.20
  6. Step 6: Final answer
    x = 282,733.85

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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.