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Finding the Fourth Proportional to 287,199.68, 430,887.44 and 147,057.44

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Solution

The fourth proportional to 287,199.68, 430,887.44 and 147,057.44 is: 220,631.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,199.68 : 430,887.44 = 147,057.44 : x
  2. Step 2: Convert to fraction form
    287,199.68/430,887.44 = 147,057.44/x
  3. Step 3: Cross multiply
    287,199.68x = 430,887.44 × 147,057.44
  4. Step 4: Simplify right side
    287,199.68x = 63,365,203,854.55
  5. Step 5: Solve for x
    x = 63,365,203,854.55/287,199.68
  6. Step 6: Final answer
    x = 220,631.18

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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.