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Finding the Fourth Proportional to 299,014,592.40, 448,605,869.40 and 145,665,651.60

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Solution

The fourth proportional to 299,014,592.40, 448,605,869.40 and 145,665,651.60 is: 218,539,388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,014,592.40 : 448,605,869.40 = 145,665,651.60 : x
  2. Step 2: Convert to fraction form
    299,014,592.40/448,605,869.40 = 145,665,651.60/x
  3. Step 3: Cross multiply
    299,014,592.40x = 448,605,869.40 × 145,665,651.60
  4. Step 4: Simplify right side
    299,014,592.40x = 65,346,466,277,735,496
  5. Step 5: Solve for x
    x = 65,346,466,277,735,496/299,014,592.40
  6. Step 6: Final answer
    x = 218,539,388.84

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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.