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Finding the Fourth Proportional to 563,909.78, 778,217.97 and 309,270.26

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Solution

The fourth proportional to 563,909.78, 778,217.97 and 309,270.26 is: 426,805.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,909.78 : 778,217.97 = 309,270.26 : x
  2. Step 2: Convert to fraction form
    563,909.78/778,217.97 = 309,270.26/x
  3. Step 3: Cross multiply
    563,909.78x = 778,217.97 × 309,270.26
  4. Step 4: Simplify right side
    563,909.78x = 240,679,673,918.57
  5. Step 5: Solve for x
    x = 240,679,673,918.57/563,909.78
  6. Step 6: Final answer
    x = 426,805.28

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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.