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Finding the Fourth Proportional to 756,489.60, 1,134,657.60 and 257,846.40

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Solution

The fourth proportional to 756,489.60, 1,134,657.60 and 257,846.40 is: 386,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,489.60 : 1,134,657.60 = 257,846.40 : x
  2. Step 2: Convert to fraction form
    756,489.60/1,134,657.60 = 257,846.40/x
  3. Step 3: Cross multiply
    756,489.60x = 1,134,657.60 × 257,846.40
  4. Step 4: Simplify right side
    756,489.60x = 292,567,377,392.64
  5. Step 5: Solve for x
    x = 292,567,377,392.64/756,489.60
  6. Step 6: Final answer
    x = 386,743.42

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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.