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Finding the Fourth Proportional to 506,662.71, 699,189.35 and 280,309.83

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Solution

The fourth proportional to 506,662.71, 699,189.35 and 280,309.83 is: 386,824.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,662.71 : 699,189.35 = 280,309.83 : x
  2. Step 2: Convert to fraction form
    506,662.71/699,189.35 = 280,309.83/x
  3. Step 3: Cross multiply
    506,662.71x = 699,189.35 × 280,309.83
  4. Step 4: Simplify right side
    506,662.71x = 195,989,645,389.54
  5. Step 5: Solve for x
    x = 195,989,645,389.54/506,662.71
  6. Step 6: Final answer
    x = 386,824.69

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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.