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Finding the Fourth Proportional to 565,622.56, 780,562.07 and 310,990.15

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Solution

The fourth proportional to 565,622.56, 780,562.07 and 310,990.15 is: 429,168.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,622.56 : 780,562.07 = 310,990.15 : x
  2. Step 2: Convert to fraction form
    565,622.56/780,562.07 = 310,990.15/x
  3. Step 3: Cross multiply
    565,622.56x = 780,562.07 × 310,990.15
  4. Step 4: Simplify right side
    565,622.56x = 242,747,115,233.61
  5. Step 5: Solve for x
    x = 242,747,115,233.61/565,622.56
  6. Step 6: Final answer
    x = 429,168.02

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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.