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Finding the Fourth Proportional to 564,935.92, 779,604.28 and 310,270.71

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Solution

The fourth proportional to 564,935.92, 779,604.28 and 310,270.71 is: 428,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,935.92 : 779,604.28 = 310,270.71 : x
  2. Step 2: Convert to fraction form
    564,935.92/779,604.28 = 310,270.71/x
  3. Step 3: Cross multiply
    564,935.92x = 779,604.28 × 310,270.71
  4. Step 4: Simplify right side
    564,935.92x = 241,888,373,474.64
  5. Step 5: Solve for x
    x = 241,888,373,474.64/564,935.92
  6. Step 6: Final answer
    x = 428,169.58

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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.