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Finding the Fourth Proportional to 551,854.50, 827,781.75 and 219,663.78

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Solution

The fourth proportional to 551,854.50, 827,781.75 and 219,663.78 is: 329,495.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,854.50 : 827,781.75 = 219,663.78 : x
  2. Step 2: Convert to fraction form
    551,854.50/827,781.75 = 219,663.78/x
  3. Step 3: Cross multiply
    551,854.50x = 827,781.75 × 219,663.78
  4. Step 4: Simplify right side
    551,854.50x = 181,833,668,220.02
  5. Step 5: Solve for x
    x = 181,833,668,220.02/551,854.50
  6. Step 6: Final answer
    x = 329,495.67

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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.