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Finding the Fourth Proportional to 478,536.47, 717,911.14 and 208,708.24

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Solution

The fourth proportional to 478,536.47, 717,911.14 and 208,708.24 is: 313,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,536.47 : 717,911.14 = 208,708.24 : x
  2. Step 2: Convert to fraction form
    478,536.47/717,911.14 = 208,708.24/x
  3. Step 3: Cross multiply
    478,536.47x = 717,911.14 × 208,708.24
  4. Step 4: Simplify right side
    478,536.47x = 149,833,970,505.79
  5. Step 5: Solve for x
    x = 149,833,970,505.79/478,536.47
  6. Step 6: Final answer
    x = 313,108.78

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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.