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Finding the Fourth Proportional to 409,031.65, 564,740.76 and 256,131.19

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Solution

The fourth proportional to 409,031.65, 564,740.76 and 256,131.19 is: 353,634.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,031.65 : 564,740.76 = 256,131.19 : x
  2. Step 2: Convert to fraction form
    409,031.65/564,740.76 = 256,131.19/x
  3. Step 3: Cross multiply
    409,031.65x = 564,740.76 × 256,131.19
  4. Step 4: Simplify right side
    409,031.65x = 144,647,722,900.30
  5. Step 5: Solve for x
    x = 144,647,722,900.30/409,031.65
  6. Step 6: Final answer
    x = 353,634.55

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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.