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Finding the Fourth Proportional to 345,977.62, 477,024.94 and 284,509

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Solution

The fourth proportional to 345,977.62, 477,024.94 and 284,509 is: 392,273.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,977.62 : 477,024.94 = 284,509 : x
  2. Step 2: Convert to fraction form
    345,977.62/477,024.94 = 284,509/x
  3. Step 3: Cross multiply
    345,977.62x = 477,024.94 × 284,509
  4. Step 4: Simplify right side
    345,977.62x = 135,717,888,654.46
  5. Step 5: Solve for x
    x = 135,717,888,654.46/345,977.62
  6. Step 6: Final answer
    x = 392,273.61

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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.