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Finding the Fourth Proportional to 408,857.50, 564,228.70 and 225,117.44

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Solution

The fourth proportional to 408,857.50, 564,228.70 and 225,117.44 is: 310,665.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,857.50 : 564,228.70 = 225,117.44 : x
  2. Step 2: Convert to fraction form
    408,857.50/564,228.70 = 225,117.44/x
  3. Step 3: Cross multiply
    408,857.50x = 564,228.70 × 225,117.44
  4. Step 4: Simplify right side
    408,857.50x = 127,017,720,518.53
  5. Step 5: Solve for x
    x = 127,017,720,518.53/408,857.50
  6. Step 6: Final answer
    x = 310,665.01

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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.