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Finding the Fourth Proportional to 228,961,327.20, 343,441,990.80 and 137,128,322.40

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Solution

The fourth proportional to 228,961,327.20, 343,441,990.80 and 137,128,322.40 is: 205,692,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,961,327.20 : 343,441,990.80 = 137,128,322.40 : x
  2. Step 2: Convert to fraction form
    228,961,327.20/343,441,990.80 = 137,128,322.40/x
  3. Step 3: Cross multiply
    228,961,327.20x = 343,441,990.80 × 137,128,322.40
  4. Step 4: Simplify right side
    228,961,327.20x = 47,095,624,040,120,240
  5. Step 5: Solve for x
    x = 47,095,624,040,120,240/228,961,327.20
  6. Step 6: Final answer
    x = 205,692,483.60

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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.