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Finding the Fourth Proportional to 478,834.70, 718,194.45 and 198,322.70

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Solution

The fourth proportional to 478,834.70, 718,194.45 and 198,322.70 is: 297,460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,834.70 : 718,194.45 = 198,322.70 : x
  2. Step 2: Convert to fraction form
    478,834.70/718,194.45 = 198,322.70/x
  3. Step 3: Cross multiply
    478,834.70x = 718,194.45 × 198,322.70
  4. Step 4: Simplify right side
    478,834.70x = 142,434,262,449.02
  5. Step 5: Solve for x
    x = 142,434,262,449.02/478,834.70
  6. Step 6: Final answer
    x = 297,460.19

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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.