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Finding the Fourth Proportional to 518,494.68, 777,754.26 and 139,416.12

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Solution

The fourth proportional to 518,494.68, 777,754.26 and 139,416.12 is: 209,127.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,494.68 : 777,754.26 = 139,416.12 : x
  2. Step 2: Convert to fraction form
    518,494.68/777,754.26 = 139,416.12/x
  3. Step 3: Cross multiply
    518,494.68x = 777,754.26 × 139,416.12
  4. Step 4: Simplify right side
    518,494.68x = 108,431,481,242.67
  5. Step 5: Solve for x
    x = 108,431,481,242.67/518,494.68
  6. Step 6: Final answer
    x = 209,127.47

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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.