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Finding the Fourth Proportional to 407,474.88, 562,320.24 and 226,190.40

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Solution

The fourth proportional to 407,474.88, 562,320.24 and 226,190.40 is: 312,145.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,474.88 : 562,320.24 = 226,190.40 : x
  2. Step 2: Convert to fraction form
    407,474.88/562,320.24 = 226,190.40/x
  3. Step 3: Cross multiply
    407,474.88x = 562,320.24 × 226,190.40
  4. Step 4: Simplify right side
    407,474.88x = 127,191,440,013.70
  5. Step 5: Solve for x
    x = 127,191,440,013.70/407,474.88
  6. Step 6: Final answer
    x = 312,145.48

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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.