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Finding the Fourth Proportional to 278,078.40, 417,117.60 and 173,102.40

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Solution

The fourth proportional to 278,078.40, 417,117.60 and 173,102.40 is: 259,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,078.40 : 417,117.60 = 173,102.40 : x
  2. Step 2: Convert to fraction form
    278,078.40/417,117.60 = 173,102.40/x
  3. Step 3: Cross multiply
    278,078.40x = 417,117.60 × 173,102.40
  4. Step 4: Simplify right side
    278,078.40x = 72,204,057,642.24
  5. Step 5: Solve for x
    x = 72,204,057,642.24/278,078.40
  6. Step 6: Final answer
    x = 259,653.60

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1.5x scale

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.