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Finding the Fourth Proportional to 306,825.78, 460,404.03 and 129,455.70

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Solution

The fourth proportional to 306,825.78, 460,404.03 and 129,455.70 is: 194,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,825.78 : 460,404.03 = 129,455.70 : x
  2. Step 2: Convert to fraction form
    306,825.78/460,404.03 = 129,455.70/x
  3. Step 3: Cross multiply
    306,825.78x = 460,404.03 × 129,455.70
  4. Step 4: Simplify right side
    306,825.78x = 59,601,925,986.47
  5. Step 5: Solve for x
    x = 59,601,925,986.47/306,825.78
  6. Step 6: Final answer
    x = 194,253.32

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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.