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Finding the Fourth Proportional to 379,278.48, 523,359.72 and 209,502.48

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Solution

The fourth proportional to 379,278.48, 523,359.72 and 209,502.48 is: 289,088.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,278.48 : 523,359.72 = 209,502.48 : x
  2. Step 2: Convert to fraction form
    379,278.48/523,359.72 = 209,502.48/x
  3. Step 3: Cross multiply
    379,278.48x = 523,359.72 × 209,502.48
  4. Step 4: Simplify right side
    379,278.48x = 109,645,159,272.11
  5. Step 5: Solve for x
    x = 109,645,159,272.11/379,278.48
  6. Step 6: Final answer
    x = 289,088.80

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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.