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Finding the Fourth Proportional to 379,254.24, 523,344.24 and 209,475

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Solution

The fourth proportional to 379,254.24, 523,344.24 and 209,475 is: 289,060.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,254.24 : 523,344.24 = 209,475 : x
  2. Step 2: Convert to fraction form
    379,254.24/523,344.24 = 209,475/x
  3. Step 3: Cross multiply
    379,254.24x = 523,344.24 × 209,475
  4. Step 4: Simplify right side
    379,254.24x = 109,627,534,674
  5. Step 5: Solve for x
    x = 109,627,534,674/379,254.24
  6. Step 6: Final answer
    x = 289,060.80

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1.5x scale

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.