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Finding the Fourth Proportional to 242,585.30, 363,926.55 and 203,413.70

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Solution

The fourth proportional to 242,585.30, 363,926.55 and 203,413.70 is: 305,161.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,585.30 : 363,926.55 = 203,413.70 : x
  2. Step 2: Convert to fraction form
    242,585.30/363,926.55 = 203,413.70/x
  3. Step 3: Cross multiply
    242,585.30x = 363,926.55 × 203,413.70
  4. Step 4: Simplify right side
    242,585.30x = 74,027,646,063.74
  5. Step 5: Solve for x
    x = 74,027,646,063.74/242,585.30
  6. Step 6: Final answer
    x = 305,161.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.