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Finding the Fourth Proportional to 508,738.32, 702,023.76 and 282,366

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Solution

The fourth proportional to 508,738.32, 702,023.76 and 282,366 is: 389,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,738.32 : 702,023.76 = 282,366 : x
  2. Step 2: Convert to fraction form
    508,738.32/702,023.76 = 282,366/x
  3. Step 3: Cross multiply
    508,738.32x = 702,023.76 × 282,366
  4. Step 4: Simplify right side
    508,738.32x = 198,227,641,016.16
  5. Step 5: Solve for x
    x = 198,227,641,016.16/508,738.32
  6. Step 6: Final answer
    x = 389,645.59

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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.