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Finding the Fourth Proportional to 478,838.70, 718,200.45 and 198,326.70

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Solution

The fourth proportional to 478,838.70, 718,200.45 and 198,326.70 is: 297,466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,838.70 : 718,200.45 = 198,326.70 : x
  2. Step 2: Convert to fraction form
    478,838.70/718,200.45 = 198,326.70/x
  3. Step 3: Cross multiply
    478,838.70x = 718,200.45 × 198,326.70
  4. Step 4: Simplify right side
    478,838.70x = 142,438,325,187.02
  5. Step 5: Solve for x
    x = 142,438,325,187.02/478,838.70
  6. Step 6: Final answer
    x = 297,466.19

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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.