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Finding the Fourth Proportional to 298,593.92, 412,088.64 and 223,011.20

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Solution

The fourth proportional to 298,593.92, 412,088.64 and 223,011.20 is: 307,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,593.92 : 412,088.64 = 223,011.20 : x
  2. Step 2: Convert to fraction form
    298,593.92/412,088.64 = 223,011.20/x
  3. Step 3: Cross multiply
    298,593.92x = 412,088.64 × 223,011.20
  4. Step 4: Simplify right side
    298,593.92x = 91,900,382,112.77
  5. Step 5: Solve for x
    x = 91,900,382,112.77/298,593.92
  6. Step 6: Final answer
    x = 307,777.14

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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.