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Finding the Fourth Proportional to 391,746.56, 539,233.16 and 343,234.10

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Solution

The fourth proportional to 391,746.56, 539,233.16 and 343,234.10 is: 472,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,746.56 : 539,233.16 = 343,234.10 : x
  2. Step 2: Convert to fraction form
    391,746.56/539,233.16 = 343,234.10/x
  3. Step 3: Cross multiply
    391,746.56x = 539,233.16 × 343,234.10
  4. Step 4: Simplify right side
    391,746.56x = 185,083,207,994.67
  5. Step 5: Solve for x
    x = 185,083,207,994.67/391,746.56
  6. Step 6: Final answer
    x = 472,456.50

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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.