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Finding the Fourth Proportional to 401,921.80, 602,364.30 and 307,961.80

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Solution

The fourth proportional to 401,921.80, 602,364.30 and 307,961.80 is: 461,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,921.80 : 602,364.30 = 307,961.80 : x
  2. Step 2: Convert to fraction form
    401,921.80/602,364.30 = 307,961.80/x
  3. Step 3: Cross multiply
    401,921.80x = 602,364.30 × 307,961.80
  4. Step 4: Simplify right side
    401,921.80x = 185,505,194,083.74
  5. Step 5: Solve for x
    x = 185,505,194,083.74/401,921.80
  6. Step 6: Final answer
    x = 461,545.49

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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.