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Finding the Fourth Proportional to 478,785.96, 718,350.39 and 205,117.34

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Solution

The fourth proportional to 478,785.96, 718,350.39 and 205,117.34 is: 307,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,785.96 : 718,350.39 = 205,117.34 : x
  2. Step 2: Convert to fraction form
    478,785.96/718,350.39 = 205,117.34/x
  3. Step 3: Cross multiply
    478,785.96x = 718,350.39 × 205,117.34
  4. Step 4: Simplify right side
    478,785.96x = 147,346,117,593.01
  5. Step 5: Solve for x
    x = 147,346,117,593.01/478,785.96
  6. Step 6: Final answer
    x = 307,749.45

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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.