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Finding the Fourth Proportional to 318,652.14, 478,050.21 and 105,419.55

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Solution

The fourth proportional to 318,652.14, 478,050.21 and 105,419.55 is: 158,153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,652.14 : 478,050.21 = 105,419.55 : x
  2. Step 2: Convert to fraction form
    318,652.14/478,050.21 = 105,419.55/x
  3. Step 3: Cross multiply
    318,652.14x = 478,050.21 × 105,419.55
  4. Step 4: Simplify right side
    318,652.14x = 50,395,838,015.61
  5. Step 5: Solve for x
    x = 50,395,838,015.61/318,652.14
  6. Step 6: Final answer
    x = 158,153.14

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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.