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Finding the Fourth Proportional to 435,623.36, 653,020.32 and 139,928

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Solution

The fourth proportional to 435,623.36, 653,020.32 and 139,928 is: 209,758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,623.36 : 653,020.32 = 139,928 : x
  2. Step 2: Convert to fraction form
    435,623.36/653,020.32 = 139,928/x
  3. Step 3: Cross multiply
    435,623.36x = 653,020.32 × 139,928
  4. Step 4: Simplify right side
    435,623.36x = 91,375,827,336.96
  5. Step 5: Solve for x
    x = 91,375,827,336.96/435,623.36
  6. Step 6: Final answer
    x = 209,758.79

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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.