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Finding the Fourth Proportional to 508,338.86, 762,513.77 and 153,355.96

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Solution

The fourth proportional to 508,338.86, 762,513.77 and 153,355.96 is: 230,035.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,338.86 : 762,513.77 = 153,355.96 : x
  2. Step 2: Convert to fraction form
    508,338.86/762,513.77 = 153,355.96/x
  3. Step 3: Cross multiply
    508,338.86x = 762,513.77 × 153,355.96
  4. Step 4: Simplify right side
    508,338.86x = 116,936,031,211.57
  5. Step 5: Solve for x
    x = 116,936,031,211.57/508,338.86
  6. Step 6: Final answer
    x = 230,035.59

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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.