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Finding the Fourth Proportional to 604,328,693.70, 906,493,040.55 and 420,662,684.10

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Solution

The fourth proportional to 604,328,693.70, 906,493,040.55 and 420,662,684.10 is: 630,994,026.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,328,693.70 : 906,493,040.55 = 420,662,684.10 : x
  2. Step 2: Convert to fraction form
    604,328,693.70/906,493,040.55 = 420,662,684.10/x
  3. Step 3: Cross multiply
    604,328,693.70x = 906,493,040.55 × 420,662,684.10
  4. Step 4: Simplify right side
    604,328,693.70x = 381,327,795,555,733,120
  5. Step 5: Solve for x
    x = 381,327,795,555,733,120/604,328,693.70
  6. Step 6: Final answer
    x = 630,994,026.15

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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.