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Finding the Fourth Proportional to 564,334.11, 778,803.53 and 309,694.41

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Solution

The fourth proportional to 564,334.11, 778,803.53 and 309,694.41 is: 427,390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,334.11 : 778,803.53 = 309,694.41 : x
  2. Step 2: Convert to fraction form
    564,334.11/778,803.53 = 309,694.41/x
  3. Step 3: Cross multiply
    564,334.11x = 778,803.53 × 309,694.41
  4. Step 4: Simplify right side
    564,334.11x = 241,191,098,180.80
  5. Step 5: Solve for x
    x = 241,191,098,180.80/564,334.11
  6. Step 6: Final answer
    x = 427,390.61

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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.