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Finding the Fourth Proportional to 505,902.08, 698,117.46 and 279,533

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Solution

The fourth proportional to 505,902.08, 698,117.46 and 279,533 is: 385,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,902.08 : 698,117.46 = 279,533 : x
  2. Step 2: Convert to fraction form
    505,902.08/698,117.46 = 279,533/x
  3. Step 3: Cross multiply
    505,902.08x = 698,117.46 × 279,533
  4. Step 4: Simplify right side
    505,902.08x = 195,146,867,946.18
  5. Step 5: Solve for x
    x = 195,146,867,946.18/505,902.08
  6. Step 6: Final answer
    x = 385,740.39

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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.