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Finding the Fourth Proportional to 508,765.32, 702,061.02 and 282,393

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Solution

The fourth proportional to 508,765.32, 702,061.02 and 282,393 is: 389,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,765.32 : 702,061.02 = 282,393 : x
  2. Step 2: Convert to fraction form
    508,765.32/702,061.02 = 282,393/x
  3. Step 3: Cross multiply
    508,765.32x = 702,061.02 × 282,393
  4. Step 4: Simplify right side
    508,765.32x = 198,257,117,620.86
  5. Step 5: Solve for x
    x = 198,257,117,620.86/508,765.32
  6. Step 6: Final answer
    x = 389,682.85

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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.