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Finding the Fourth Proportional to 401,971.20, 602,265.60 and 261,657.60

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Solution

The fourth proportional to 401,971.20, 602,265.60 and 261,657.60 is: 392,036.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,971.20 : 602,265.60 = 261,657.60 : x
  2. Step 2: Convert to fraction form
    401,971.20/602,265.60 = 261,657.60/x
  3. Step 3: Cross multiply
    401,971.20x = 602,265.60 × 261,657.60
  4. Step 4: Simplify right side
    401,971.20x = 157,587,371,458.56
  5. Step 5: Solve for x
    x = 157,587,371,458.56/401,971.20
  6. Step 6: Final answer
    x = 392,036.47

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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.