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Finding the Fourth Proportional to 563,206.78, 777,218.88 and 305,078.80

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Solution

The fourth proportional to 563,206.78, 777,218.88 and 305,078.80 is: 421,005.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,206.78 : 777,218.88 = 305,078.80 : x
  2. Step 2: Convert to fraction form
    563,206.78/777,218.88 = 305,078.80/x
  3. Step 3: Cross multiply
    563,206.78x = 777,218.88 × 305,078.80
  4. Step 4: Simplify right side
    563,206.78x = 237,113,003,247.74
  5. Step 5: Solve for x
    x = 237,113,003,247.74/563,206.78
  6. Step 6: Final answer
    x = 421,005.24

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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.