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Finding the Fourth Proportional to 997,487,985.60, 1,496,231,978.40 and 415,028,649.60

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Solution

The fourth proportional to 997,487,985.60, 1,496,231,978.40 and 415,028,649.60 is: 622,542,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,487,985.60 : 1,496,231,978.40 = 415,028,649.60 : x
  2. Step 2: Convert to fraction form
    997,487,985.60/1,496,231,978.40 = 415,028,649.60/x
  3. Step 3: Cross multiply
    997,487,985.60x = 1,496,231,978.40 × 415,028,649.60
  4. Step 4: Simplify right side
    997,487,985.60x = 620,979,137,483,688,448
  5. Step 5: Solve for x
    x = 620,979,137,483,688,448/997,487,985.60
  6. Step 6: Final answer
    x = 622,542,974.40

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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.