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Finding the Fourth Proportional to 401,562.79, 601,960.21 and 148,775.43

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Solution

The fourth proportional to 401,562.79, 601,960.21 and 148,775.43 is: 223,020.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,562.79 : 601,960.21 = 148,775.43 : x
  2. Step 2: Convert to fraction form
    401,562.79/601,960.21 = 148,775.43/x
  3. Step 3: Cross multiply
    401,562.79x = 601,960.21 × 148,775.43
  4. Step 4: Simplify right side
    401,562.79x = 89,556,890,971.05
  5. Step 5: Solve for x
    x = 89,556,890,971.05/401,562.79
  6. Step 6: Final answer
    x = 223,020.89

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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.