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Finding the Fourth Proportional to 409,268.70, 613,897.57 and 105,663.89

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Solution

The fourth proportional to 409,268.70, 613,897.57 and 105,663.89 is: 158,494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,268.70 : 613,897.57 = 105,663.89 : x
  2. Step 2: Convert to fraction form
    409,268.70/613,897.57 = 105,663.89/x
  3. Step 3: Cross multiply
    409,268.70x = 613,897.57 × 105,663.89
  4. Step 4: Simplify right side
    409,268.70x = 64,866,805,307.75
  5. Step 5: Solve for x
    x = 64,866,805,307.75/409,268.70
  6. Step 6: Final answer
    x = 158,494.42

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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.