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Finding the Fourth Proportional to 315,123.68, 434,872.02 and 171,886.80

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Solution

The fourth proportional to 315,123.68, 434,872.02 and 171,886.80 is: 237,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,123.68 : 434,872.02 = 171,886.80 : x
  2. Step 2: Convert to fraction form
    315,123.68/434,872.02 = 171,886.80/x
  3. Step 3: Cross multiply
    315,123.68x = 434,872.02 × 171,886.80
  4. Step 4: Simplify right side
    315,123.68x = 74,748,759,927.34
  5. Step 5: Solve for x
    x = 74,748,759,927.34/315,123.68
  6. Step 6: Final answer
    x = 237,204.52

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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.