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Finding the Fourth Proportional to 219,191.90, 328,806.48 and 77,024.90

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Solution

The fourth proportional to 219,191.90, 328,806.48 and 77,024.90 is: 115,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,191.90 : 328,806.48 = 77,024.90 : x
  2. Step 2: Convert to fraction form
    219,191.90/328,806.48 = 77,024.90/x
  3. Step 3: Cross multiply
    219,191.90x = 328,806.48 × 77,024.90
  4. Step 4: Simplify right side
    219,191.90x = 25,326,286,241.35
  5. Step 5: Solve for x
    x = 25,326,286,241.35/219,191.90
  6. Step 6: Final answer
    x = 115,543.90

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1.5x scale

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.