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Finding the Fourth Proportional to 298,652,187.60, 447,978,281.40 and 83,241,435.60

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Solution

The fourth proportional to 298,652,187.60, 447,978,281.40 and 83,241,435.60 is: 124,862,153.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,652,187.60 : 447,978,281.40 = 83,241,435.60 : x
  2. Step 2: Convert to fraction form
    298,652,187.60/447,978,281.40 = 83,241,435.60/x
  3. Step 3: Cross multiply
    298,652,187.60x = 447,978,281.40 × 83,241,435.60
  4. Step 4: Simplify right side
    298,652,187.60x = 37,290,355,261,356,776
  5. Step 5: Solve for x
    x = 37,290,355,261,356,776/298,652,187.60
  6. Step 6: Final answer
    x = 124,862,153.40

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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.