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Finding the Fourth Proportional to 192,444, 288,665.28 and 52,202.40

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Solution

The fourth proportional to 192,444, 288,665.28 and 52,202.40 is: 78,303.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,444 : 288,665.28 = 52,202.40 : x
  2. Step 2: Convert to fraction form
    192,444/288,665.28 = 52,202.40/x
  3. Step 3: Cross multiply
    192,444x = 288,665.28 × 52,202.40
  4. Step 4: Simplify right side
    192,444x = 15,069,020,412.67
  5. Step 5: Solve for x
    x = 15,069,020,412.67/192,444
  6. Step 6: Final answer
    x = 78,303.40

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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.