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Finding the Fourth Proportional to 428,640.72, 591,677.28 and 292,577.28

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Solution

The fourth proportional to 428,640.72, 591,677.28 and 292,577.28 is: 403,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,640.72 : 591,677.28 = 292,577.28 : x
  2. Step 2: Convert to fraction form
    428,640.72/591,677.28 = 292,577.28/x
  3. Step 3: Cross multiply
    428,640.72x = 591,677.28 × 292,577.28
  4. Step 4: Simplify right side
    428,640.72x = 173,111,329,220.20
  5. Step 5: Solve for x
    x = 173,111,329,220.20/428,640.72
  6. Step 6: Final answer
    x = 403,861.14

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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.