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Finding the Fourth Proportional to 564,697.98, 779,284.50 and 310,065.54

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Solution

The fourth proportional to 564,697.98, 779,284.50 and 310,065.54 is: 427,891.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,697.98 : 779,284.50 = 310,065.54 : x
  2. Step 2: Convert to fraction form
    564,697.98/779,284.50 = 310,065.54/x
  3. Step 3: Cross multiply
    564,697.98x = 779,284.50 × 310,065.54
  4. Step 4: Simplify right side
    564,697.98x = 241,629,269,306.13
  5. Step 5: Solve for x
    x = 241,629,269,306.13/564,697.98
  6. Step 6: Final answer
    x = 427,891.15

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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.