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Finding the Fourth Proportional to 565,002.24, 779,706.72 and 310,351.20

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Solution

The fourth proportional to 565,002.24, 779,706.72 and 310,351.20 is: 428,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,002.24 : 779,706.72 = 310,351.20 : x
  2. Step 2: Convert to fraction form
    565,002.24/779,706.72 = 310,351.20/x
  3. Step 3: Cross multiply
    565,002.24x = 779,706.72 × 310,351.20
  4. Step 4: Simplify right side
    565,002.24x = 241,982,916,200.06
  5. Step 5: Solve for x
    x = 241,982,916,200.06/565,002.24
  6. Step 6: Final answer
    x = 428,286.65

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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.