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Finding the Fourth Proportional to 306,009.60, 459,087.30 and 148,108.20

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Solution

The fourth proportional to 306,009.60, 459,087.30 and 148,108.20 is: 222,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,009.60 : 459,087.30 = 148,108.20 : x
  2. Step 2: Convert to fraction form
    306,009.60/459,087.30 = 148,108.20/x
  3. Step 3: Cross multiply
    306,009.60x = 459,087.30 × 148,108.20
  4. Step 4: Simplify right side
    306,009.60x = 67,994,593,645.86
  5. Step 5: Solve for x
    x = 67,994,593,645.86/306,009.60
  6. Step 6: Final answer
    x = 222,197.58

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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.