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Finding the Fourth Proportional to 778,652, 1,074,541.20 and 420,956

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Solution

The fourth proportional to 778,652, 1,074,541.20 and 420,956 is: 580,920.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,652 : 1,074,541.20 = 420,956 : x
  2. Step 2: Convert to fraction form
    778,652/1,074,541.20 = 420,956/x
  3. Step 3: Cross multiply
    778,652x = 1,074,541.20 × 420,956
  4. Step 4: Simplify right side
    778,652x = 452,334,565,387.20
  5. Step 5: Solve for x
    x = 452,334,565,387.20/778,652
  6. Step 6: Final answer
    x = 580,920.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.