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Finding the Fourth Proportional to 247,833, 342,008.34 and 140,402.78

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Solution

The fourth proportional to 247,833, 342,008.34 and 140,402.78 is: 193,755.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,833 : 342,008.34 = 140,402.78 : x
  2. Step 2: Convert to fraction form
    247,833/342,008.34 = 140,402.78/x
  3. Step 3: Cross multiply
    247,833x = 342,008.34 × 140,402.78
  4. Step 4: Simplify right side
    247,833x = 48,018,920,009.14
  5. Step 5: Solve for x
    x = 48,018,920,009.14/247,833
  6. Step 6: Final answer
    x = 193,755.15

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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.