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Finding the Fourth Proportional to 340,809,477.60, 511,214,216.40 and 298,719,350.40

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Solution

The fourth proportional to 340,809,477.60, 511,214,216.40 and 298,719,350.40 is: 448,079,025.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,809,477.60 : 511,214,216.40 = 298,719,350.40 : x
  2. Step 2: Convert to fraction form
    340,809,477.60/511,214,216.40 = 298,719,350.40/x
  3. Step 3: Cross multiply
    340,809,477.60x = 511,214,216.40 × 298,719,350.40
  4. Step 4: Simplify right side
    340,809,477.60x = 152,709,578,638,252,992
  5. Step 5: Solve for x
    x = 152,709,578,638,252,992/340,809,477.60
  6. Step 6: Final answer
    x = 448,079,025.60

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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.