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Finding the Fourth Proportional to 305,902.50, 458,919.40 and 128,307.16

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Solution

The fourth proportional to 305,902.50, 458,919.40 and 128,307.16 is: 192,488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,902.50 : 458,919.40 = 128,307.16 : x
  2. Step 2: Convert to fraction form
    305,902.50/458,919.40 = 128,307.16/x
  3. Step 3: Cross multiply
    305,902.50x = 458,919.40 × 128,307.16
  4. Step 4: Simplify right side
    305,902.50x = 58,882,644,882.90
  5. Step 5: Solve for x
    x = 58,882,644,882.90/305,902.50
  6. Step 6: Final answer
    x = 192,488.28

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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.