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Finding the Fourth Proportional to 406,763.42, 561,143.67 and 255,943.58

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Solution

The fourth proportional to 406,763.42, 561,143.67 and 255,943.58 is: 353,082.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,763.42 : 561,143.67 = 255,943.58 : x
  2. Step 2: Convert to fraction form
    406,763.42/561,143.67 = 255,943.58/x
  3. Step 3: Cross multiply
    406,763.42x = 561,143.67 × 255,943.58
  4. Step 4: Simplify right side
    406,763.42x = 143,621,119,794.14
  5. Step 5: Solve for x
    x = 143,621,119,794.14/406,763.42
  6. Step 6: Final answer
    x = 353,082.68

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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.