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Finding the Fourth Proportional to 564,022.62, 778,302 and 322,257.06

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Solution

The fourth proportional to 564,022.62, 778,302 and 322,257.06 is: 444,686.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,022.62 : 778,302 = 322,257.06 : x
  2. Step 2: Convert to fraction form
    564,022.62/778,302 = 322,257.06/x
  3. Step 3: Cross multiply
    564,022.62x = 778,302 × 322,257.06
  4. Step 4: Simplify right side
    564,022.62x = 250,813,314,312.12
  5. Step 5: Solve for x
    x = 250,813,314,312.12/564,022.62
  6. Step 6: Final answer
    x = 444,686.62

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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.