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Finding the Fourth Proportional to 303,203.40, 454,805.10 and 288,441.15

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Solution

The fourth proportional to 303,203.40, 454,805.10 and 288,441.15 is: 432,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,203.40 : 454,805.10 = 288,441.15 : x
  2. Step 2: Convert to fraction form
    303,203.40/454,805.10 = 288,441.15/x
  3. Step 3: Cross multiply
    303,203.40x = 454,805.10 × 288,441.15
  4. Step 4: Simplify right side
    303,203.40x = 131,184,506,069.87
  5. Step 5: Solve for x
    x = 131,184,506,069.87/303,203.40
  6. Step 6: Final answer
    x = 432,661.73

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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.