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Finding the Fourth Proportional to 361,877.56, 499,413.68 and 208,943.76

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Solution

The fourth proportional to 361,877.56, 499,413.68 and 208,943.76 is: 288,355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,877.56 : 499,413.68 = 208,943.76 : x
  2. Step 2: Convert to fraction form
    361,877.56/499,413.68 = 208,943.76/x
  3. Step 3: Cross multiply
    361,877.56x = 499,413.68 × 208,943.76
  4. Step 4: Simplify right side
    361,877.56x = 104,349,372,094.64
  5. Step 5: Solve for x
    x = 104,349,372,094.64/361,877.56
  6. Step 6: Final answer
    x = 288,355.47

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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.