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Finding the Fourth Proportional to 565,384.56, 780,233.22 and 310,752.15

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Solution

The fourth proportional to 565,384.56, 780,233.22 and 310,752.15 is: 428,839.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,384.56 : 780,233.22 = 310,752.15 : x
  2. Step 2: Convert to fraction form
    565,384.56/780,233.22 = 310,752.15/x
  3. Step 3: Cross multiply
    565,384.56x = 780,233.22 × 310,752.15
  4. Step 4: Simplify right side
    565,384.56x = 242,459,150,616.42
  5. Step 5: Solve for x
    x = 242,459,150,616.42/565,384.56
  6. Step 6: Final answer
    x = 428,839.36

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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.