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Finding the Fourth Proportional to 506,568.13, 699,065.44 and 280,213.63

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Solution

The fourth proportional to 506,568.13, 699,065.44 and 280,213.63 is: 386,695.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,568.13 : 699,065.44 = 280,213.63 : x
  2. Step 2: Convert to fraction form
    506,568.13/699,065.44 = 280,213.63/x
  3. Step 3: Cross multiply
    506,568.13x = 699,065.44 × 280,213.63
  4. Step 4: Simplify right side
    506,568.13x = 195,887,662,101.75
  5. Step 5: Solve for x
    x = 195,887,662,101.75/506,568.13
  6. Step 6: Final answer
    x = 386,695.59

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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.