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Finding the Fourth Proportional to 500,920.47, 751,479.12 and 185,380.11

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Solution

The fourth proportional to 500,920.47, 751,479.12 and 185,380.11 is: 278,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,920.47 : 751,479.12 = 185,380.11 : x
  2. Step 2: Convert to fraction form
    500,920.47/751,479.12 = 185,380.11/x
  3. Step 3: Cross multiply
    500,920.47x = 751,479.12 × 185,380.11
  4. Step 4: Simplify right side
    500,920.47x = 139,309,281,928.30
  5. Step 5: Solve for x
    x = 139,309,281,928.30/500,920.47
  6. Step 6: Final answer
    x = 278,106.59

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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.