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Finding the Fourth Proportional to 276,412.10, 415,055.55 and 209,927.30

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Solution

The fourth proportional to 276,412.10, 415,055.55 and 209,927.30 is: 315,223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,412.10 : 415,055.55 = 209,927.30 : x
  2. Step 2: Convert to fraction form
    276,412.10/415,055.55 = 209,927.30/x
  3. Step 3: Cross multiply
    276,412.10x = 415,055.55 × 209,927.30
  4. Step 4: Simplify right side
    276,412.10x = 87,131,490,961.52
  5. Step 5: Solve for x
    x = 87,131,490,961.52/276,412.10
  6. Step 6: Final answer
    x = 315,223.14

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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.