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Finding the Fourth Proportional to 267,431.80, 401,018.10 and 148,977.40

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Solution

The fourth proportional to 267,431.80, 401,018.10 and 148,977.40 is: 223,393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,431.80 : 401,018.10 = 148,977.40 : x
  2. Step 2: Convert to fraction form
    267,431.80/401,018.10 = 148,977.40/x
  3. Step 3: Cross multiply
    267,431.80x = 401,018.10 × 148,977.40
  4. Step 4: Simplify right side
    267,431.80x = 59,742,633,890.94
  5. Step 5: Solve for x
    x = 59,742,633,890.94/267,431.80
  6. Step 6: Final answer
    x = 223,393.90

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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.