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Finding the Fourth Proportional to 614,919.60, 922,160.70 and 278,121.60

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Solution

The fourth proportional to 614,919.60, 922,160.70 and 278,121.60 is: 417,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,919.60 : 922,160.70 = 278,121.60 : x
  2. Step 2: Convert to fraction form
    614,919.60/922,160.70 = 278,121.60/x
  3. Step 3: Cross multiply
    614,919.60x = 922,160.70 × 278,121.60
  4. Step 4: Simplify right side
    614,919.60x = 256,472,809,341.12
  5. Step 5: Solve for x
    x = 256,472,809,341.12/614,919.60
  6. Step 6: Final answer
    x = 417,083.48

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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.