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Finding the Fourth Proportional to 288,906.30, 433,186.65 and 148,938.30

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Solution

The fourth proportional to 288,906.30, 433,186.65 and 148,938.30 is: 223,318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,906.30 : 433,186.65 = 148,938.30 : x
  2. Step 2: Convert to fraction form
    288,906.30/433,186.65 = 148,938.30/x
  3. Step 3: Cross multiply
    288,906.30x = 433,186.65 × 148,938.30
  4. Step 4: Simplify right side
    288,906.30x = 64,518,083,233.70
  5. Step 5: Solve for x
    x = 64,518,083,233.70/288,906.30
  6. Step 6: Final answer
    x = 223,318.37

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1.5x scale

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.