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Finding the Fourth Proportional to 565,538.70, 780,445.98 and 310,906.29

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Solution

The fourth proportional to 565,538.70, 780,445.98 and 310,906.29 is: 429,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,538.70 : 780,445.98 = 310,906.29 : x
  2. Step 2: Convert to fraction form
    565,538.70/780,445.98 = 310,906.29/x
  3. Step 3: Cross multiply
    565,538.70x = 780,445.98 × 310,906.29
  4. Step 4: Simplify right side
    565,538.70x = 242,645,564,187.21
  5. Step 5: Solve for x
    x = 242,645,564,187.21/565,538.70
  6. Step 6: Final answer
    x = 429,052.10

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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.