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Finding the Fourth Proportional to 305,712.80, 458,569.20 and 193,738.40

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Solution

The fourth proportional to 305,712.80, 458,569.20 and 193,738.40 is: 290,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,712.80 : 458,569.20 = 193,738.40 : x
  2. Step 2: Convert to fraction form
    305,712.80/458,569.20 = 193,738.40/x
  3. Step 3: Cross multiply
    305,712.80x = 458,569.20 × 193,738.40
  4. Step 4: Simplify right side
    305,712.80x = 88,842,463,097.28
  5. Step 5: Solve for x
    x = 88,842,463,097.28/305,712.80
  6. Step 6: Final answer
    x = 290,607.60

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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.