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Finding the Fourth Proportional to 468,257.12, 646,125.29 and 284,400

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Solution

The fourth proportional to 468,257.12, 646,125.29 and 284,400 is: 392,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,257.12 : 646,125.29 = 284,400 : x
  2. Step 2: Convert to fraction form
    468,257.12/646,125.29 = 284,400/x
  3. Step 3: Cross multiply
    468,257.12x = 646,125.29 × 284,400
  4. Step 4: Simplify right side
    468,257.12x = 183,758,031,054
  5. Step 5: Solve for x
    x = 183,758,031,054/468,257.12
  6. Step 6: Final answer
    x = 392,429.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.