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Finding the Fourth Proportional to 315,196.89, 434,956.55 and 171,948.39

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Solution

The fourth proportional to 315,196.89, 434,956.55 and 171,948.39 is: 237,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,196.89 : 434,956.55 = 171,948.39 : x
  2. Step 2: Convert to fraction form
    315,196.89/434,956.55 = 171,948.39/x
  3. Step 3: Cross multiply
    315,196.89x = 434,956.55 × 171,948.39
  4. Step 4: Simplify right side
    315,196.89x = 74,790,077,632.71
  5. Step 5: Solve for x
    x = 74,790,077,632.71/315,196.89
  6. Step 6: Final answer
    x = 237,280.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.