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Finding the Fourth Proportional to 381,709.80, 572,564.70 and 378,210.60

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Solution

The fourth proportional to 381,709.80, 572,564.70 and 378,210.60 is: 567,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,709.80 : 572,564.70 = 378,210.60 : x
  2. Step 2: Convert to fraction form
    381,709.80/572,564.70 = 378,210.60/x
  3. Step 3: Cross multiply
    381,709.80x = 572,564.70 × 378,210.60
  4. Step 4: Simplify right side
    381,709.80x = 216,550,038,725.82
  5. Step 5: Solve for x
    x = 216,550,038,725.82/381,709.80
  6. Step 6: Final answer
    x = 567,315.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.