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Finding the Fourth Proportional to 563,669.88, 777,863.61 and 309,037.38

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Solution

The fourth proportional to 563,669.88, 777,863.61 and 309,037.38 is: 426,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,669.88 : 777,863.61 = 309,037.38 : x
  2. Step 2: Convert to fraction form
    563,669.88/777,863.61 = 309,037.38/x
  3. Step 3: Cross multiply
    563,669.88x = 777,863.61 × 309,037.38
  4. Step 4: Simplify right side
    563,669.88x = 240,388,932,031.74
  5. Step 5: Solve for x
    x = 240,388,932,031.74/563,669.88
  6. Step 6: Final answer
    x = 426,471.13

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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.