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Finding the Fourth Proportional to 288,640.80, 433,544.40 and 278,726.40

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Solution

The fourth proportional to 288,640.80, 433,544.40 and 278,726.40 is: 418,652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,640.80 : 433,544.40 = 278,726.40 : x
  2. Step 2: Convert to fraction form
    288,640.80/433,544.40 = 278,726.40/x
  3. Step 3: Cross multiply
    288,640.80x = 433,544.40 × 278,726.40
  4. Step 4: Simplify right side
    288,640.80x = 120,840,269,852.16
  5. Step 5: Solve for x
    x = 120,840,269,852.16/288,640.80
  6. Step 6: Final answer
    x = 418,652.77

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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.