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Finding the Fourth Proportional to 513,477.16, 770,398.22 and 229,141.85

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Solution

The fourth proportional to 513,477.16, 770,398.22 and 229,141.85 is: 343,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,477.16 : 770,398.22 = 229,141.85 : x
  2. Step 2: Convert to fraction form
    513,477.16/770,398.22 = 229,141.85/x
  3. Step 3: Cross multiply
    513,477.16x = 770,398.22 × 229,141.85
  4. Step 4: Simplify right side
    513,477.16x = 176,530,470,088.37
  5. Step 5: Solve for x
    x = 176,530,470,088.37/513,477.16
  6. Step 6: Final answer
    x = 343,794.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.