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Finding the Fourth Proportional to 508,912.64, 702,286.08 and 282,552.32

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Solution

The fourth proportional to 508,912.64, 702,286.08 and 282,552.32 is: 389,914.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,912.64 : 702,286.08 = 282,552.32 : x
  2. Step 2: Convert to fraction form
    508,912.64/702,286.08 = 282,552.32/x
  3. Step 3: Cross multiply
    508,912.64x = 702,286.08 × 282,552.32
  4. Step 4: Simplify right side
    508,912.64x = 198,432,561,207.71
  5. Step 5: Solve for x
    x = 198,432,561,207.71/508,912.64
  6. Step 6: Final answer
    x = 389,914.78

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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.