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Finding the Fourth Proportional to 508,780.32, 702,081.72 and 282,408

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Solution

The fourth proportional to 508,780.32, 702,081.72 and 282,408 is: 389,703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,780.32 : 702,081.72 = 282,408 : x
  2. Step 2: Convert to fraction form
    508,780.32/702,081.72 = 282,408/x
  3. Step 3: Cross multiply
    508,780.32x = 702,081.72 × 282,408
  4. Step 4: Simplify right side
    508,780.32x = 198,273,494,381.76
  5. Step 5: Solve for x
    x = 198,273,494,381.76/508,780.32
  6. Step 6: Final answer
    x = 389,703.55

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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.