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Finding the Fourth Proportional to 310,019.08, 465,072.36 and 99,586.48

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Solution

The fourth proportional to 310,019.08, 465,072.36 and 99,586.48 is: 149,393.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,019.08 : 465,072.36 = 99,586.48 : x
  2. Step 2: Convert to fraction form
    310,019.08/465,072.36 = 99,586.48/x
  3. Step 3: Cross multiply
    310,019.08x = 465,072.36 × 99,586.48
  4. Step 4: Simplify right side
    310,019.08x = 46,314,919,277.69
  5. Step 5: Solve for x
    x = 46,314,919,277.69/310,019.08
  6. Step 6: Final answer
    x = 149,393.77

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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.