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Finding the Fourth Proportional to 428,702.88, 591,491.16 and 247,402.08

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Solution

The fourth proportional to 428,702.88, 591,491.16 and 247,402.08 is: 341,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,702.88 : 591,491.16 = 247,402.08 : x
  2. Step 2: Convert to fraction form
    428,702.88/591,491.16 = 247,402.08/x
  3. Step 3: Cross multiply
    428,702.88x = 591,491.16 × 247,402.08
  4. Step 4: Simplify right side
    428,702.88x = 146,336,143,285.61
  5. Step 5: Solve for x
    x = 146,336,143,285.61/428,702.88
  6. Step 6: Final answer
    x = 341,346.30

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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.