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Finding the Fourth Proportional to 213,180.88, 319,466.20 and 156,577

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Solution

The fourth proportional to 213,180.88, 319,466.20 and 156,577 is: 234,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,180.88 : 319,466.20 = 156,577 : x
  2. Step 2: Convert to fraction form
    213,180.88/319,466.20 = 156,577/x
  3. Step 3: Cross multiply
    213,180.88x = 319,466.20 × 156,577
  4. Step 4: Simplify right side
    213,180.88x = 50,021,059,197.40
  5. Step 5: Solve for x
    x = 50,021,059,197.40/213,180.88
  6. Step 6: Final answer
    x = 234,641.40

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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.