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Finding the Fourth Proportional to 610,253.16, 842,199.09 and 338,406.30

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Solution

The fourth proportional to 610,253.16, 842,199.09 and 338,406.30 is: 467,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,253.16 : 842,199.09 = 338,406.30 : x
  2. Step 2: Convert to fraction form
    610,253.16/842,199.09 = 338,406.30/x
  3. Step 3: Cross multiply
    610,253.16x = 842,199.09 × 338,406.30
  4. Step 4: Simplify right side
    610,253.16x = 285,005,477,910.27
  5. Step 5: Solve for x
    x = 285,005,477,910.27/610,253.16
  6. Step 6: Final answer
    x = 467,028.27

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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.