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Finding the Fourth Proportional to 564,864.33, 779,511.85 and 310,215.52

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Solution

The fourth proportional to 564,864.33, 779,511.85 and 310,215.52 is: 428,096.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,864.33 : 779,511.85 = 310,215.52 : x
  2. Step 2: Convert to fraction form
    564,864.33/779,511.85 = 310,215.52/x
  3. Step 3: Cross multiply
    564,864.33x = 779,511.85 × 310,215.52
  4. Step 4: Simplify right side
    564,864.33x = 241,816,673,893.91
  5. Step 5: Solve for x
    x = 241,816,673,893.91/564,864.33
  6. Step 6: Final answer
    x = 428,096.91

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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.