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Finding the Fourth Proportional to 564,376.36, 778,821.80 and 309,721

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Solution

The fourth proportional to 564,376.36, 778,821.80 and 309,721 is: 427,405.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,376.36 : 778,821.80 = 309,721 : x
  2. Step 2: Convert to fraction form
    564,376.36/778,821.80 = 309,721/x
  3. Step 3: Cross multiply
    564,376.36x = 778,821.80 × 309,721
  4. Step 4: Simplify right side
    564,376.36x = 241,217,466,717.80
  5. Step 5: Solve for x
    x = 241,217,466,717.80/564,376.36
  6. Step 6: Final answer
    x = 427,405.33

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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.