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Finding the Fourth Proportional to 564,633.81, 779,195.25 and 306,510.62

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Solution

The fourth proportional to 564,633.81, 779,195.25 and 306,510.62 is: 422,984.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,633.81 : 779,195.25 = 306,510.62 : x
  2. Step 2: Convert to fraction form
    564,633.81/779,195.25 = 306,510.62/x
  3. Step 3: Cross multiply
    564,633.81x = 779,195.25 × 306,510.62
  4. Step 4: Simplify right side
    564,633.81x = 238,831,615,282.58
  5. Step 5: Solve for x
    x = 238,831,615,282.58/564,633.81
  6. Step 6: Final answer
    x = 422,984.97

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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.