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Finding the Fourth Proportional to 315,549.47, 472,992.05 and 189,258.42

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Solution

The fourth proportional to 315,549.47, 472,992.05 and 189,258.42 is: 283,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,549.47 : 472,992.05 = 189,258.42 : x
  2. Step 2: Convert to fraction form
    315,549.47/472,992.05 = 189,258.42/x
  3. Step 3: Cross multiply
    315,549.47x = 472,992.05 × 189,258.42
  4. Step 4: Simplify right side
    315,549.47x = 89,517,728,528.71
  5. Step 5: Solve for x
    x = 89,517,728,528.71/315,549.47
  6. Step 6: Final answer
    x = 283,688.41

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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.