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Finding the Fourth Proportional to 478,512.47, 717,879.76 and 162,972.11

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Solution

The fourth proportional to 478,512.47, 717,879.76 and 162,972.11 is: 244,495.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,512.47 : 717,879.76 = 162,972.11 : x
  2. Step 2: Convert to fraction form
    478,512.47/717,879.76 = 162,972.11/x
  3. Step 3: Cross multiply
    478,512.47x = 717,879.76 × 162,972.11
  4. Step 4: Simplify right side
    478,512.47x = 116,994,375,216.67
  5. Step 5: Solve for x
    x = 116,994,375,216.67/478,512.47
  6. Step 6: Final answer
    x = 244,495.98

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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.