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Finding the Fourth Proportional to 409,061.72, 564,530.81 and 225,300.25

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Solution

The fourth proportional to 409,061.72, 564,530.81 and 225,300.25 is: 310,928.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,061.72 : 564,530.81 = 225,300.25 : x
  2. Step 2: Convert to fraction form
    409,061.72/564,530.81 = 225,300.25/x
  3. Step 3: Cross multiply
    409,061.72x = 564,530.81 × 225,300.25
  4. Step 4: Simplify right side
    409,061.72x = 127,188,932,625.70
  5. Step 5: Solve for x
    x = 127,188,932,625.70/409,061.72
  6. Step 6: Final answer
    x = 310,928.46

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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.