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Finding the Fourth Proportional to 506,785.81, 699,335.44 and 280,417.81

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Solution

The fourth proportional to 506,785.81, 699,335.44 and 280,417.81 is: 386,960.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,785.81 : 699,335.44 = 280,417.81 : x
  2. Step 2: Convert to fraction form
    506,785.81/699,335.44 = 280,417.81/x
  3. Step 3: Cross multiply
    506,785.81x = 699,335.44 × 280,417.81
  4. Step 4: Simplify right side
    506,785.81x = 196,106,112,540.19
  5. Step 5: Solve for x
    x = 196,106,112,540.19/506,785.81
  6. Step 6: Final answer
    x = 386,960.54

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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.