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Finding the Fourth Proportional to 509,659.60, 703,338 and 280,226.80

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Solution

The fourth proportional to 509,659.60, 703,338 and 280,226.80 is: 386,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,659.60 : 703,338 = 280,226.80 : x
  2. Step 2: Convert to fraction form
    509,659.60/703,338 = 280,226.80/x
  3. Step 3: Cross multiply
    509,659.60x = 703,338 × 280,226.80
  4. Step 4: Simplify right side
    509,659.60x = 197,094,157,058.40
  5. Step 5: Solve for x
    x = 197,094,157,058.40/509,659.60
  6. Step 6: Final answer
    x = 386,717.25

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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.