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Finding the Fourth Proportional to 604,325,087.70, 906,487,631.55 and 420,659,078.10

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Solution

The fourth proportional to 604,325,087.70, 906,487,631.55 and 420,659,078.10 is: 630,988,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,325,087.70 : 906,487,631.55 = 420,659,078.10 : x
  2. Step 2: Convert to fraction form
    604,325,087.70/906,487,631.55 = 420,659,078.10/x
  3. Step 3: Cross multiply
    604,325,087.70x = 906,487,631.55 × 420,659,078.10
  4. Step 4: Simplify right side
    604,325,087.70x = 381,322,251,396,875,456
  5. Step 5: Solve for x
    x = 381,322,251,396,875,456/604,325,087.70
  6. Step 6: Final answer
    x = 630,988,617.15

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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.