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Finding the Fourth Proportional to 283,902.67, 391,782.72 and 156,575.53

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Solution

The fourth proportional to 283,902.67, 391,782.72 and 156,575.53 is: 216,072.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,902.67 : 391,782.72 = 156,575.53 : x
  2. Step 2: Convert to fraction form
    283,902.67/391,782.72 = 156,575.53/x
  3. Step 3: Cross multiply
    283,902.67x = 391,782.72 × 156,575.53
  4. Step 4: Simplify right side
    283,902.67x = 61,343,587,028.84
  5. Step 5: Solve for x
    x = 61,343,587,028.84/283,902.67
  6. Step 6: Final answer
    x = 216,072.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.