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Finding the Fourth Proportional to 477,291, 658,644.72 and 262,429.56

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Solution

The fourth proportional to 477,291, 658,644.72 and 262,429.56 is: 362,143.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,291 : 658,644.72 = 262,429.56 : x
  2. Step 2: Convert to fraction form
    477,291/658,644.72 = 262,429.56/x
  3. Step 3: Cross multiply
    477,291x = 658,644.72 × 262,429.56
  4. Step 4: Simplify right side
    477,291x = 172,847,844,065.92
  5. Step 5: Solve for x
    x = 172,847,844,065.92/477,291
  6. Step 6: Final answer
    x = 362,143.52

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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.