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Finding the Fourth Proportional to 506,147.08, 698,455.56 and 279,778

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Solution

The fourth proportional to 506,147.08, 698,455.56 and 279,778 is: 386,078.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,147.08 : 698,455.56 = 279,778 : x
  2. Step 2: Convert to fraction form
    506,147.08/698,455.56 = 279,778/x
  3. Step 3: Cross multiply
    506,147.08x = 698,455.56 × 279,778
  4. Step 4: Simplify right side
    506,147.08x = 195,412,499,665.68
  5. Step 5: Solve for x
    x = 195,412,499,665.68/506,147.08
  6. Step 6: Final answer
    x = 386,078.49

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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.