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Finding the Fourth Proportional to 278,246.40, 417,062.40 and 153,676.80

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Solution

The fourth proportional to 278,246.40, 417,062.40 and 153,676.80 is: 230,345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,246.40 : 417,062.40 = 153,676.80 : x
  2. Step 2: Convert to fraction form
    278,246.40/417,062.40 = 153,676.80/x
  3. Step 3: Cross multiply
    278,246.40x = 417,062.40 × 153,676.80
  4. Step 4: Simplify right side
    278,246.40x = 64,092,815,032.32
  5. Step 5: Solve for x
    x = 64,092,815,032.32/278,246.40
  6. Step 6: Final answer
    x = 230,345.53

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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.