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Finding the Fourth Proportional to 278,868,308.40, 418,302,462.60 and 125,813,300.40

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Solution

The fourth proportional to 278,868,308.40, 418,302,462.60 and 125,813,300.40 is: 188,719,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,868,308.40 : 418,302,462.60 = 125,813,300.40 : x
  2. Step 2: Convert to fraction form
    278,868,308.40/418,302,462.60 = 125,813,300.40/x
  3. Step 3: Cross multiply
    278,868,308.40x = 418,302,462.60 × 125,813,300.40
  4. Step 4: Simplify right side
    278,868,308.40x = 52,628,013,385,153,568
  5. Step 5: Solve for x
    x = 52,628,013,385,153,568/278,868,308.40
  6. Step 6: Final answer
    x = 188,719,950.60

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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.