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Finding the Fourth Proportional to 315,123.76, 434,876.66 and 171,888.94

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Solution

The fourth proportional to 315,123.76, 434,876.66 and 171,888.94 is: 237,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,123.76 : 434,876.66 = 171,888.94 : x
  2. Step 2: Convert to fraction form
    315,123.76/434,876.66 = 171,888.94/x
  3. Step 3: Cross multiply
    315,123.76x = 434,876.66 × 171,888.94
  4. Step 4: Simplify right side
    315,123.76x = 74,750,488,118.14
  5. Step 5: Solve for x
    x = 74,750,488,118.14/315,123.76
  6. Step 6: Final answer
    x = 237,209.94

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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.