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Finding the Fourth Proportional to 478,503.14, 717,856.77 and 238,745.98

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Solution

The fourth proportional to 478,503.14, 717,856.77 and 238,745.98 is: 358,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,503.14 : 717,856.77 = 238,745.98 : x
  2. Step 2: Convert to fraction form
    478,503.14/717,856.77 = 238,745.98/x
  3. Step 3: Cross multiply
    478,503.14x = 717,856.77 × 238,745.98
  4. Step 4: Simplify right side
    478,503.14x = 171,385,414,464.00
  5. Step 5: Solve for x
    x = 171,385,414,464.00/478,503.14
  6. Step 6: Final answer
    x = 358,169.88

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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.