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Finding the Fourth Proportional to 283,543.64, 391,290.01 and 156,219.23

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Solution

The fourth proportional to 283,543.64, 391,290.01 and 156,219.23 is: 215,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,543.64 : 391,290.01 = 156,219.23 : x
  2. Step 2: Convert to fraction form
    283,543.64/391,290.01 = 156,219.23/x
  3. Step 3: Cross multiply
    283,543.64x = 391,290.01 × 156,219.23
  4. Step 4: Simplify right side
    283,543.64x = 61,127,024,986.10
  5. Step 5: Solve for x
    x = 61,127,024,986.10/283,543.64
  6. Step 6: Final answer
    x = 215,582.42

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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.