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Finding the Fourth Proportional to 379,252.74, 523,342.17 and 209,473.50

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Solution

The fourth proportional to 379,252.74, 523,342.17 and 209,473.50 is: 289,058.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,252.74 : 523,342.17 = 209,473.50 : x
  2. Step 2: Convert to fraction form
    379,252.74/523,342.17 = 209,473.50/x
  3. Step 3: Cross multiply
    379,252.74x = 523,342.17 × 209,473.50
  4. Step 4: Simplify right side
    379,252.74x = 109,626,316,047.50
  5. Step 5: Solve for x
    x = 109,626,316,047.50/379,252.74
  6. Step 6: Final answer
    x = 289,058.73

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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.