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Finding the Fourth Proportional to 415,020.70, 622,603.95 and 148,935.70

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Solution

The fourth proportional to 415,020.70, 622,603.95 and 148,935.70 is: 223,429.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,020.70 : 622,603.95 = 148,935.70 : x
  2. Step 2: Convert to fraction form
    415,020.70/622,603.95 = 148,935.70/x
  3. Step 3: Cross multiply
    415,020.70x = 622,603.95 × 148,935.70
  4. Step 4: Simplify right side
    415,020.70x = 92,727,955,116.02
  5. Step 5: Solve for x
    x = 92,727,955,116.02/415,020.70
  6. Step 6: Final answer
    x = 223,429.71

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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.