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Finding the Fourth Proportional to 305,875.20, 458,812.80 and 165,907.20

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Solution

The fourth proportional to 305,875.20, 458,812.80 and 165,907.20 is: 248,860.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,875.20 : 458,812.80 = 165,907.20 : x
  2. Step 2: Convert to fraction form
    305,875.20/458,812.80 = 165,907.20/x
  3. Step 3: Cross multiply
    305,875.20x = 458,812.80 × 165,907.20
  4. Step 4: Simplify right side
    305,875.20x = 76,120,346,972.16
  5. Step 5: Solve for x
    x = 76,120,346,972.16/305,875.20
  6. Step 6: Final answer
    x = 248,860.80

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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.