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Finding the Fourth Proportional to 306,043.40, 458,616.90 and 274,453.40

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Solution

The fourth proportional to 306,043.40, 458,616.90 and 274,453.40 is: 411,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,043.40 : 458,616.90 = 274,453.40 : x
  2. Step 2: Convert to fraction form
    306,043.40/458,616.90 = 274,453.40/x
  3. Step 3: Cross multiply
    306,043.40x = 458,616.90 × 274,453.40
  4. Step 4: Simplify right side
    306,043.40x = 125,868,967,502.46
  5. Step 5: Solve for x
    x = 125,868,967,502.46/306,043.40
  6. Step 6: Final answer
    x = 411,278.16

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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.