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Finding the Fourth Proportional to 428,649.72, 591,689.70 and 292,586.28

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Solution

The fourth proportional to 428,649.72, 591,689.70 and 292,586.28 is: 403,873.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,649.72 : 591,689.70 = 292,586.28 : x
  2. Step 2: Convert to fraction form
    428,649.72/591,689.70 = 292,586.28/x
  3. Step 3: Cross multiply
    428,649.72x = 591,689.70 × 292,586.28
  4. Step 4: Simplify right side
    428,649.72x = 173,120,288,237.32
  5. Step 5: Solve for x
    x = 173,120,288,237.32/428,649.72
  6. Step 6: Final answer
    x = 403,873.56

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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.