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Finding the Fourth Proportional to 379,350.76, 523,509.54 and 209,588.80

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Solution

The fourth proportional to 379,350.76, 523,509.54 and 209,588.80 is: 289,235.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,350.76 : 523,509.54 = 209,588.80 : x
  2. Step 2: Convert to fraction form
    379,350.76/523,509.54 = 209,588.80/x
  3. Step 3: Cross multiply
    379,350.76x = 523,509.54 × 209,588.80
  4. Step 4: Simplify right side
    379,350.76x = 109,721,736,277.15
  5. Step 5: Solve for x
    x = 109,721,736,277.15/379,350.76
  6. Step 6: Final answer
    x = 289,235.58

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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.