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Finding the Fourth Proportional to 564,936.24, 779,615.64 and 310,285.20

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Solution

The fourth proportional to 564,936.24, 779,615.64 and 310,285.20 is: 428,195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,936.24 : 779,615.64 = 310,285.20 : x
  2. Step 2: Convert to fraction form
    564,936.24/779,615.64 = 310,285.20/x
  3. Step 3: Cross multiply
    564,936.24x = 779,615.64 × 310,285.20
  4. Step 4: Simplify right side
    564,936.24x = 241,903,194,780.53
  5. Step 5: Solve for x
    x = 241,903,194,780.53/564,936.24
  6. Step 6: Final answer
    x = 428,195.57

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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.