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Finding the Fourth Proportional to 498,086,019.20, 745,113,489.60 and 437,619,843.20

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Solution

The fourth proportional to 498,086,019.20, 745,113,489.60 and 437,619,843.20 is: 654,658,906.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,086,019.20 : 745,113,489.60 = 437,619,843.20 : x
  2. Step 2: Convert to fraction form
    498,086,019.20/745,113,489.60 = 437,619,843.20/x
  3. Step 3: Cross multiply
    498,086,019.20x = 745,113,489.60 × 437,619,843.20
  4. Step 4: Simplify right side
    498,086,019.20x = 326,076,448,484,956,864
  5. Step 5: Solve for x
    x = 326,076,448,484,956,864/498,086,019.20
  6. Step 6: Final answer
    x = 654,658,906.12

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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.