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Finding the Fourth Proportional to 356,469.20, 534,271.80 and 206,421.20

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Solution

The fourth proportional to 356,469.20, 534,271.80 and 206,421.20 is: 309,381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,469.20 : 534,271.80 = 206,421.20 : x
  2. Step 2: Convert to fraction form
    356,469.20/534,271.80 = 206,421.20/x
  3. Step 3: Cross multiply
    356,469.20x = 534,271.80 × 206,421.20
  4. Step 4: Simplify right side
    356,469.20x = 110,285,026,082.16
  5. Step 5: Solve for x
    x = 110,285,026,082.16/356,469.20
  6. Step 6: Final answer
    x = 309,381.64

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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.