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Finding the Fourth Proportional to 280,781.97, 387,478.44 and 153,458.48

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Solution

The fourth proportional to 280,781.97, 387,478.44 and 153,458.48 is: 211,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,781.97 : 387,478.44 = 153,458.48 : x
  2. Step 2: Convert to fraction form
    280,781.97/387,478.44 = 153,458.48/x
  3. Step 3: Cross multiply
    280,781.97x = 387,478.44 × 153,458.48
  4. Step 4: Simplify right side
    280,781.97x = 59,461,850,497.78
  5. Step 5: Solve for x
    x = 59,461,850,497.78/280,781.97
  6. Step 6: Final answer
    x = 211,772.32

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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.