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Finding the Fourth Proportional to 563,980.98, 778,305.90 and 309,331.56

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Solution

The fourth proportional to 563,980.98, 778,305.90 and 309,331.56 is: 426,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,980.98 : 778,305.90 = 309,331.56 : x
  2. Step 2: Convert to fraction form
    563,980.98/778,305.90 = 309,331.56/x
  3. Step 3: Cross multiply
    563,980.98x = 778,305.90 × 309,331.56
  4. Step 4: Simplify right side
    563,980.98x = 240,754,578,204.20
  5. Step 5: Solve for x
    x = 240,754,578,204.20/563,980.98
  6. Step 6: Final answer
    x = 426,884.22

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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.