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Finding the Fourth Proportional to 565,205.61, 779,974.74 and 310,551.33

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Solution

The fourth proportional to 565,205.61, 779,974.74 and 310,551.33 is: 428,555.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,205.61 : 779,974.74 = 310,551.33 : x
  2. Step 2: Convert to fraction form
    565,205.61/779,974.74 = 310,551.33/x
  3. Step 3: Cross multiply
    565,205.61x = 779,974.74 × 310,551.33
  4. Step 4: Simplify right side
    565,205.61x = 242,222,192,873.40
  5. Step 5: Solve for x
    x = 242,222,192,873.40/565,205.61
  6. Step 6: Final answer
    x = 428,555.89

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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.