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Finding the Fourth Proportional to 563,115.66, 777,099.75 and 308,475.90

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Solution

The fourth proportional to 563,115.66, 777,099.75 and 308,475.90 is: 425,696.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,115.66 : 777,099.75 = 308,475.90 : x
  2. Step 2: Convert to fraction form
    563,115.66/777,099.75 = 308,475.90/x
  3. Step 3: Cross multiply
    563,115.66x = 777,099.75 × 308,475.90
  4. Step 4: Simplify right side
    563,115.66x = 239,716,544,771.03
  5. Step 5: Solve for x
    x = 239,716,544,771.03/563,115.66
  6. Step 6: Final answer
    x = 425,696.82

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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.