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Finding the Fourth Proportional to 564,896.31, 779,595.08 and 310,250.13

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Solution

The fourth proportional to 564,896.31, 779,595.08 and 310,250.13 is: 428,166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,896.31 : 779,595.08 = 310,250.13 : x
  2. Step 2: Convert to fraction form
    564,896.31/779,595.08 = 310,250.13/x
  3. Step 3: Cross multiply
    564,896.31x = 779,595.08 × 310,250.13
  4. Step 4: Simplify right side
    564,896.31x = 241,869,473,366.11
  5. Step 5: Solve for x
    x = 241,869,473,366.11/564,896.31
  6. Step 6: Final answer
    x = 428,166.14

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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.