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Finding the Fourth Proportional to 564,662, 846,993 and 170,678

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Solution

The fourth proportional to 564,662, 846,993 and 170,678 is: 256,017

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,662 : 846,993 = 170,678 : x
  2. Step 2: Convert to fraction form
    564,662/846,993 = 170,678/x
  3. Step 3: Cross multiply
    564,662x = 846,993 × 170,678
  4. Step 4: Simplify right side
    564,662x = 144,563,071,254
  5. Step 5: Solve for x
    x = 144,563,071,254/564,662
  6. Step 6: Final answer
    x = 256,017

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.