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Finding the Fourth Proportional to 506,144.08, 698,451.42 and 279,775

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Solution

The fourth proportional to 506,144.08, 698,451.42 and 279,775 is: 386,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,144.08 : 698,451.42 = 279,775 : x
  2. Step 2: Convert to fraction form
    506,144.08/698,451.42 = 279,775/x
  3. Step 3: Cross multiply
    506,144.08x = 698,451.42 × 279,775
  4. Step 4: Simplify right side
    506,144.08x = 195,409,246,030.50
  5. Step 5: Solve for x
    x = 195,409,246,030.50/506,144.08
  6. Step 6: Final answer
    x = 386,074.35

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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.