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Finding the Fourth Proportional to 283,452.90, 391,164.96 and 156,128.50

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Solution

The fourth proportional to 283,452.90, 391,164.96 and 156,128.50 is: 215,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,452.90 : 391,164.96 = 156,128.50 : x
  2. Step 2: Convert to fraction form
    283,452.90/391,164.96 = 156,128.50/x
  3. Step 3: Cross multiply
    283,452.90x = 391,164.96 × 156,128.50
  4. Step 4: Simplify right side
    283,452.90x = 61,071,998,457.36
  5. Step 5: Solve for x
    x = 61,071,998,457.36/283,452.90
  6. Step 6: Final answer
    x = 215,457.31

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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.