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Finding the Fourth Proportional to 762,763.96, 1,144,194.54 and 257,375.80

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Solution

The fourth proportional to 762,763.96, 1,144,194.54 and 257,375.80 is: 386,080.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,763.96 : 1,144,194.54 = 257,375.80 : x
  2. Step 2: Convert to fraction form
    762,763.96/1,144,194.54 = 257,375.80/x
  3. Step 3: Cross multiply
    762,763.96x = 1,144,194.54 × 257,375.80
  4. Step 4: Simplify right side
    762,763.96x = 294,487,985,088.13
  5. Step 5: Solve for x
    x = 294,487,985,088.13/762,763.96
  6. Step 6: Final answer
    x = 386,080.10

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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.