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Finding the Fourth Proportional to 432,382.72, 644,225.20 and 408,238.24

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Solution

The fourth proportional to 432,382.72, 644,225.20 and 408,238.24 is: 608,251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,382.72 : 644,225.20 = 408,238.24 : x
  2. Step 2: Convert to fraction form
    432,382.72/644,225.20 = 408,238.24/x
  3. Step 3: Cross multiply
    432,382.72x = 644,225.20 × 408,238.24
  4. Step 4: Simplify right side
    432,382.72x = 262,997,361,811.65
  5. Step 5: Solve for x
    x = 262,997,361,811.65/432,382.72
  6. Step 6: Final answer
    x = 608,251.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.