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Finding the Fourth Proportional to 565,991.16, 781,054.78 and 311,336.92

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Solution

The fourth proportional to 565,991.16, 781,054.78 and 311,336.92 is: 429,637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,991.16 : 781,054.78 = 311,336.92 : x
  2. Step 2: Convert to fraction form
    565,991.16/781,054.78 = 311,336.92/x
  3. Step 3: Cross multiply
    565,991.16x = 781,054.78 × 311,336.92
  4. Step 4: Simplify right side
    565,991.16x = 243,171,189,556.48
  5. Step 5: Solve for x
    x = 243,171,189,556.48/565,991.16
  6. Step 6: Final answer
    x = 429,637.79

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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.