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Finding the Fourth Proportional to 610,265.16, 842,215.65 and 338,418.30

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Solution

The fourth proportional to 610,265.16, 842,215.65 and 338,418.30 is: 467,044.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,265.16 : 842,215.65 = 338,418.30 : x
  2. Step 2: Convert to fraction form
    610,265.16/842,215.65 = 338,418.30/x
  3. Step 3: Cross multiply
    610,265.16x = 842,215.65 × 338,418.30
  4. Step 4: Simplify right side
    610,265.16x = 285,021,188,506.40
  5. Step 5: Solve for x
    x = 285,021,188,506.40/610,265.16
  6. Step 6: Final answer
    x = 467,044.83

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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.