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Finding the Fourth Proportional to 278,820.63, 417,669.62 and 128,854.40

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Solution

The fourth proportional to 278,820.63, 417,669.62 and 128,854.40 is: 193,022.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,820.63 : 417,669.62 = 128,854.40 : x
  2. Step 2: Convert to fraction form
    278,820.63/417,669.62 = 128,854.40/x
  3. Step 3: Cross multiply
    278,820.63x = 417,669.62 × 128,854.40
  4. Step 4: Simplify right side
    278,820.63x = 53,818,565,550.71
  5. Step 5: Solve for x
    x = 53,818,565,550.71/278,820.63
  6. Step 6: Final answer
    x = 193,022.18

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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.