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Finding the Fourth Proportional to 509,974,682.40, 764,962,023.60 and 399,009,801.60

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Solution

The fourth proportional to 509,974,682.40, 764,962,023.60 and 399,009,801.60 is: 598,514,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,974,682.40 : 764,962,023.60 = 399,009,801.60 : x
  2. Step 2: Convert to fraction form
    509,974,682.40/764,962,023.60 = 399,009,801.60/x
  3. Step 3: Cross multiply
    509,974,682.40x = 764,962,023.60 × 399,009,801.60
  4. Step 4: Simplify right side
    509,974,682.40x = 305,227,345,268,170,560
  5. Step 5: Solve for x
    x = 305,227,345,268,170,560/509,974,682.40
  6. Step 6: Final answer
    x = 598,514,702.40

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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.