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Finding the Fourth Proportional to 401,438.34, 602,157.78 and 101,941.38

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Solution

The fourth proportional to 401,438.34, 602,157.78 and 101,941.38 is: 152,912.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,438.34 : 602,157.78 = 101,941.38 : x
  2. Step 2: Convert to fraction form
    401,438.34/602,157.78 = 101,941.38/x
  3. Step 3: Cross multiply
    401,438.34x = 602,157.78 × 101,941.38
  4. Step 4: Simplify right side
    401,438.34x = 61,384,795,070.94
  5. Step 5: Solve for x
    x = 61,384,795,070.94/401,438.34
  6. Step 6: Final answer
    x = 152,912.14

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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.