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Finding the Fourth Proportional to 565,392.89, 780,209.19 and 310,744.28

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Solution

The fourth proportional to 565,392.89, 780,209.19 and 310,744.28 is: 428,808.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,392.89 : 780,209.19 = 310,744.28 : x
  2. Step 2: Convert to fraction form
    565,392.89/780,209.19 = 310,744.28/x
  3. Step 3: Cross multiply
    565,392.89x = 780,209.19 × 310,744.28
  4. Step 4: Simplify right side
    565,392.89x = 242,445,542,995.93
  5. Step 5: Solve for x
    x = 242,445,542,995.93/565,392.89
  6. Step 6: Final answer
    x = 428,808.97

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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.