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Finding the Fourth Proportional to 513,967.61, 771,126.53 and 154,147.17

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Solution

The fourth proportional to 513,967.61, 771,126.53 and 154,147.17 is: 231,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,967.61 : 771,126.53 = 154,147.17 : x
  2. Step 2: Convert to fraction form
    513,967.61/771,126.53 = 154,147.17/x
  3. Step 3: Cross multiply
    513,967.61x = 771,126.53 × 154,147.17
  4. Step 4: Simplify right side
    513,967.61x = 118,866,971,540.68
  5. Step 5: Solve for x
    x = 118,866,971,540.68/513,967.61
  6. Step 6: Final answer
    x = 231,273.28

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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.