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Finding the Fourth Proportional to 518,678.32, 777,989.94 and 158,849.05

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Solution

The fourth proportional to 518,678.32, 777,989.94 and 158,849.05 is: 238,265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,678.32 : 777,989.94 = 158,849.05 : x
  2. Step 2: Convert to fraction form
    518,678.32/777,989.94 = 158,849.05/x
  3. Step 3: Cross multiply
    518,678.32x = 777,989.94 × 158,849.05
  4. Step 4: Simplify right side
    518,678.32x = 123,582,962,878.56
  5. Step 5: Solve for x
    x = 123,582,962,878.56/518,678.32
  6. Step 6: Final answer
    x = 238,265.14

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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.