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Finding the Fourth Proportional to 217,841,917.60, 326,314,978.80 and 149,761,482.40

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Solution

The fourth proportional to 217,841,917.60, 326,314,978.80 and 149,761,482.40 is: 224,334,303.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,841,917.60 : 326,314,978.80 = 149,761,482.40 : x
  2. Step 2: Convert to fraction form
    217,841,917.60/326,314,978.80 = 149,761,482.40/x
  3. Step 3: Cross multiply
    217,841,917.60x = 326,314,978.80 × 149,761,482.40
  4. Step 4: Simplify right side
    217,841,917.60x = 48,869,414,954,412,576
  5. Step 5: Solve for x
    x = 48,869,414,954,412,576/217,841,917.60
  6. Step 6: Final answer
    x = 224,334,303.94

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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.