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Finding the Fourth Proportional to 379,275.48, 523,355.58 and 209,499.48

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Solution

The fourth proportional to 379,275.48, 523,355.58 and 209,499.48 is: 289,084.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,275.48 : 523,355.58 = 209,499.48 : x
  2. Step 2: Convert to fraction form
    379,275.48/523,355.58 = 209,499.48/x
  3. Step 3: Cross multiply
    379,275.48x = 523,355.58 × 209,499.48
  4. Step 4: Simplify right side
    379,275.48x = 109,642,721,865.10
  5. Step 5: Solve for x
    x = 109,642,721,865.10/379,275.48
  6. Step 6: Final answer
    x = 289,084.66

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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.