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Finding the Fourth Proportional to 285,207.90, 393,463.35 and 171,967.74

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Solution

The fourth proportional to 285,207.90, 393,463.35 and 171,967.74 is: 237,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,207.90 : 393,463.35 = 171,967.74 : x
  2. Step 2: Convert to fraction form
    285,207.90/393,463.35 = 171,967.74/x
  3. Step 3: Cross multiply
    285,207.90x = 393,463.35 × 171,967.74
  4. Step 4: Simplify right side
    285,207.90x = 67,663,003,072.33
  5. Step 5: Solve for x
    x = 67,663,003,072.33/285,207.90
  6. Step 6: Final answer
    x = 237,240.98

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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.