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Finding the Fourth Proportional to 566,068.50, 781,174.53 and 311,414.22

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Solution

The fourth proportional to 566,068.50, 781,174.53 and 311,414.22 is: 429,751.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,068.50 : 781,174.53 = 311,414.22 : x
  2. Step 2: Convert to fraction form
    566,068.50/781,174.53 = 311,414.22/x
  3. Step 3: Cross multiply
    566,068.50x = 781,174.53 × 311,414.22
  4. Step 4: Simplify right side
    566,068.50x = 243,268,856,943.82
  5. Step 5: Solve for x
    x = 243,268,856,943.82/566,068.50
  6. Step 6: Final answer
    x = 429,751.62

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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.