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Finding the Fourth Proportional to 415,907,893.60, 623,861,840.40 and 383,659,266.40

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Solution

The fourth proportional to 415,907,893.60, 623,861,840.40 and 383,659,266.40 is: 575,488,899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,907,893.60 : 623,861,840.40 = 383,659,266.40 : x
  2. Step 2: Convert to fraction form
    415,907,893.60/623,861,840.40 = 383,659,266.40/x
  3. Step 3: Cross multiply
    415,907,893.60x = 623,861,840.40 × 383,659,266.40
  4. Step 4: Simplify right side
    415,907,893.60x = 239,350,376,022,817,856
  5. Step 5: Solve for x
    x = 239,350,376,022,817,856/415,907,893.60
  6. Step 6: Final answer
    x = 575,488,899.60

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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.