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Finding the Fourth Proportional to 212,842.89, 319,472.10 and 175,780.53

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Solution

The fourth proportional to 212,842.89, 319,472.10 and 175,780.53 is: 263,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,842.89 : 319,472.10 = 175,780.53 : x
  2. Step 2: Convert to fraction form
    212,842.89/319,472.10 = 175,780.53/x
  3. Step 3: Cross multiply
    212,842.89x = 319,472.10 × 175,780.53
  4. Step 4: Simplify right side
    212,842.89x = 56,156,975,058.21
  5. Step 5: Solve for x
    x = 56,156,975,058.21/212,842.89
  6. Step 6: Final answer
    x = 263,842.38

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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.