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Finding the Fourth Proportional to 405,374,652.20, 608,061,978.30 and 233,187,768.20

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Solution

The fourth proportional to 405,374,652.20, 608,061,978.30 and 233,187,768.20 is: 349,781,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,374,652.20 : 608,061,978.30 = 233,187,768.20 : x
  2. Step 2: Convert to fraction form
    405,374,652.20/608,061,978.30 = 233,187,768.20/x
  3. Step 3: Cross multiply
    405,374,652.20x = 608,061,978.30 × 233,187,768.20
  4. Step 4: Simplify right side
    405,374,652.20x = 141,792,615,647,053,808
  5. Step 5: Solve for x
    x = 141,792,615,647,053,808/405,374,652.20
  6. Step 6: Final answer
    x = 349,781,652.30

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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.