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Finding the Fourth Proportional to 318,690.28, 478,035.47 and 105,400.95

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Solution

The fourth proportional to 318,690.28, 478,035.47 and 105,400.95 is: 158,101.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,690.28 : 478,035.47 = 105,400.95 : x
  2. Step 2: Convert to fraction form
    318,690.28/478,035.47 = 105,400.95/x
  3. Step 3: Cross multiply
    318,690.28x = 478,035.47 × 105,400.95
  4. Step 4: Simplify right side
    318,690.28x = 50,385,392,671.70
  5. Step 5: Solve for x
    x = 50,385,392,671.70/318,690.28
  6. Step 6: Final answer
    x = 158,101.44

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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.