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Finding the Fourth Proportional to 471,702.96, 650,848.68 and 280,679.04

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Solution

The fourth proportional to 471,702.96, 650,848.68 and 280,679.04 is: 387,276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,702.96 : 650,848.68 = 280,679.04 : x
  2. Step 2: Convert to fraction form
    471,702.96/650,848.68 = 280,679.04/x
  3. Step 3: Cross multiply
    471,702.96x = 650,848.68 × 280,679.04
  4. Step 4: Simplify right side
    471,702.96x = 182,679,582,687.67
  5. Step 5: Solve for x
    x = 182,679,582,687.67/471,702.96
  6. Step 6: Final answer
    x = 387,276.74

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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.