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Finding the Fourth Proportional to 610,521.26, 842,519.32 and 338,630.78

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Solution

The fourth proportional to 610,521.26, 842,519.32 and 338,630.78 is: 467,310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,521.26 : 842,519.32 = 338,630.78 : x
  2. Step 2: Convert to fraction form
    610,521.26/842,519.32 = 338,630.78/x
  3. Step 3: Cross multiply
    610,521.26x = 842,519.32 × 338,630.78
  4. Step 4: Simplify right side
    610,521.26x = 285,302,974,496.67
  5. Step 5: Solve for x
    x = 285,302,974,496.67/610,521.26
  6. Step 6: Final answer
    x = 467,310.47

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1.5x scale

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.