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Finding the Fourth Proportional to 285,657.60, 428,313.60 and 127,856.64

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Solution

The fourth proportional to 285,657.60, 428,313.60 and 127,856.64 is: 191,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,657.60 : 428,313.60 = 127,856.64 : x
  2. Step 2: Convert to fraction form
    285,657.60/428,313.60 = 127,856.64/x
  3. Step 3: Cross multiply
    285,657.60x = 428,313.60 × 127,856.64
  4. Step 4: Simplify right side
    285,657.60x = 54,762,737,762.30
  5. Step 5: Solve for x
    x = 54,762,737,762.30/285,657.60
  6. Step 6: Final answer
    x = 191,707.62

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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.