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Finding the Fourth Proportional to 505,191.52, 698,001.06 and 398,572.84

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Solution

The fourth proportional to 505,191.52, 698,001.06 and 398,572.84 is: 550,690.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,191.52 : 698,001.06 = 398,572.84 : x
  2. Step 2: Convert to fraction form
    505,191.52/698,001.06 = 398,572.84/x
  3. Step 3: Cross multiply
    505,191.52x = 698,001.06 × 398,572.84
  4. Step 4: Simplify right side
    505,191.52x = 278,204,264,807.21
  5. Step 5: Solve for x
    x = 278,204,264,807.21/505,191.52
  6. Step 6: Final answer
    x = 550,690.69

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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.