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Finding the Fourth Proportional to 401,773.32, 602,640.50 and 149,103.07

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Solution

The fourth proportional to 401,773.32, 602,640.50 and 149,103.07 is: 223,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,773.32 : 602,640.50 = 149,103.07 : x
  2. Step 2: Convert to fraction form
    401,773.32/602,640.50 = 149,103.07/x
  3. Step 3: Cross multiply
    401,773.32x = 602,640.50 × 149,103.07
  4. Step 4: Simplify right side
    401,773.32x = 89,855,548,656.34
  5. Step 5: Solve for x
    x = 89,855,548,656.34/401,773.32
  6. Step 6: Final answer
    x = 223,647.38

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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.