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Finding the Fourth Proportional to 303,503.28, 455,138.28 and 209,724.72

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Solution

The fourth proportional to 303,503.28, 455,138.28 and 209,724.72 is: 314,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,503.28 : 455,138.28 = 209,724.72 : x
  2. Step 2: Convert to fraction form
    303,503.28/455,138.28 = 209,724.72/x
  3. Step 3: Cross multiply
    303,503.28x = 455,138.28 × 209,724.72
  4. Step 4: Simplify right side
    303,503.28x = 95,453,748,334.28
  5. Step 5: Solve for x
    x = 95,453,748,334.28/303,503.28
  6. Step 6: Final answer
    x = 314,506.48

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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.