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Finding the Fourth Proportional to 614,911.54, 922,478.20 and 278,111.38

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Solution

The fourth proportional to 614,911.54, 922,478.20 and 278,111.38 is: 417,217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,911.54 : 922,478.20 = 278,111.38 : x
  2. Step 2: Convert to fraction form
    614,911.54/922,478.20 = 278,111.38/x
  3. Step 3: Cross multiply
    614,911.54x = 922,478.20 × 278,111.38
  4. Step 4: Simplify right side
    614,911.54x = 256,551,685,221.92
  5. Step 5: Solve for x
    x = 256,551,685,221.92/614,911.54
  6. Step 6: Final answer
    x = 417,217.22

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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.