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Finding the Fourth Proportional to 323,441,702.40, 485,162,553.60 and 314,938,646.40

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Solution

The fourth proportional to 323,441,702.40, 485,162,553.60 and 314,938,646.40 is: 472,407,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,441,702.40 : 485,162,553.60 = 314,938,646.40 : x
  2. Step 2: Convert to fraction form
    323,441,702.40/485,162,553.60 = 314,938,646.40/x
  3. Step 3: Cross multiply
    323,441,702.40x = 485,162,553.60 × 314,938,646.40
  4. Step 4: Simplify right side
    323,441,702.40x = 152,796,437,914,751,456
  5. Step 5: Solve for x
    x = 152,796,437,914,751,456/323,441,702.40
  6. Step 6: Final answer
    x = 472,407,969.60

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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.