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Finding the Fourth Proportional to 409,491.72, 565,073.71 and 225,722.24

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Solution

The fourth proportional to 409,491.72, 565,073.71 and 225,722.24 is: 311,482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,491.72 : 565,073.71 = 225,722.24 : x
  2. Step 2: Convert to fraction form
    409,491.72/565,073.71 = 225,722.24/x
  3. Step 3: Cross multiply
    409,491.72x = 565,073.71 × 225,722.24
  4. Step 4: Simplify right side
    409,491.72x = 127,549,703,586.31
  5. Step 5: Solve for x
    x = 127,549,703,586.31/409,491.72
  6. Step 6: Final answer
    x = 311,482.99

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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.