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Finding the Fourth Proportional to 478,722.24, 718,311.52 and 298,758.80

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Solution

The fourth proportional to 478,722.24, 718,311.52 and 298,758.80 is: 448,280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,722.24 : 718,311.52 = 298,758.80 : x
  2. Step 2: Convert to fraction form
    478,722.24/718,311.52 = 298,758.80/x
  3. Step 3: Cross multiply
    478,722.24x = 718,311.52 × 298,758.80
  4. Step 4: Simplify right side
    478,722.24x = 214,601,887,741.38
  5. Step 5: Solve for x
    x = 214,601,887,741.38/478,722.24
  6. Step 6: Final answer
    x = 448,280.59

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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.