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Finding the Fourth Proportional to 477,962.40, 717,764.40 and 264,640.80

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Solution

The fourth proportional to 477,962.40, 717,764.40 and 264,640.80 is: 397,415.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,962.40 : 717,764.40 = 264,640.80 : x
  2. Step 2: Convert to fraction form
    477,962.40/717,764.40 = 264,640.80/x
  3. Step 3: Cross multiply
    477,962.40x = 717,764.40 × 264,640.80
  4. Step 4: Simplify right side
    477,962.40x = 189,949,745,027.52
  5. Step 5: Solve for x
    x = 189,949,745,027.52/477,962.40
  6. Step 6: Final answer
    x = 397,415.66

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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.