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Finding the Fourth Proportional to 506,255.78, 698,607.32 and 279,857.54

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Solution

The fourth proportional to 506,255.78, 698,607.32 and 279,857.54 is: 386,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,255.78 : 698,607.32 = 279,857.54 : x
  2. Step 2: Convert to fraction form
    506,255.78/698,607.32 = 279,857.54/x
  3. Step 3: Cross multiply
    506,255.78x = 698,607.32 × 279,857.54
  4. Step 4: Simplify right side
    506,255.78x = 195,510,526,001.19
  5. Step 5: Solve for x
    x = 195,510,526,001.19/506,255.78
  6. Step 6: Final answer
    x = 386,189.22

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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.