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Finding the Fourth Proportional to 565,200.78, 779,442.66 and 371,266.32

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Solution

The fourth proportional to 565,200.78, 779,442.66 and 371,266.32 is: 511,996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,200.78 : 779,442.66 = 371,266.32 : x
  2. Step 2: Convert to fraction form
    565,200.78/779,442.66 = 371,266.32/x
  3. Step 3: Cross multiply
    565,200.78x = 779,442.66 × 371,266.32
  4. Step 4: Simplify right side
    565,200.78x = 289,380,808,029.21
  5. Step 5: Solve for x
    x = 289,380,808,029.21/565,200.78
  6. Step 6: Final answer
    x = 511,996.48

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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.