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Finding the Fourth Proportional to 280,108.88, 386,559.24 and 152,789.84

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Solution

The fourth proportional to 280,108.88, 386,559.24 and 152,789.84 is: 210,854.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,108.88 : 386,559.24 = 152,789.84 : x
  2. Step 2: Convert to fraction form
    280,108.88/386,559.24 = 152,789.84/x
  3. Step 3: Cross multiply
    280,108.88x = 386,559.24 × 152,789.84
  4. Step 4: Simplify right side
    280,108.88x = 59,062,324,430.12
  5. Step 5: Solve for x
    x = 59,062,324,430.12/280,108.88
  6. Step 6: Final answer
    x = 210,854.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.