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Finding the Fourth Proportional to 280,847.25, 387,569.21 and 153,523.76

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Solution

The fourth proportional to 280,847.25, 387,569.21 and 153,523.76 is: 211,862.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,847.25 : 387,569.21 = 153,523.76 : x
  2. Step 2: Convert to fraction form
    280,847.25/387,569.21 = 153,523.76/x
  3. Step 3: Cross multiply
    280,847.25x = 387,569.21 × 153,523.76
  4. Step 4: Simplify right side
    280,847.25x = 59,501,079,673.96
  5. Step 5: Solve for x
    x = 59,501,079,673.96/280,847.25
  6. Step 6: Final answer
    x = 211,862.78

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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.