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Finding the Fourth Proportional to 298,735,542.60, 448,103,313.90 and 280,595,689.80

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Solution

The fourth proportional to 298,735,542.60, 448,103,313.90 and 280,595,689.80 is: 420,893,534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,735,542.60 : 448,103,313.90 = 280,595,689.80 : x
  2. Step 2: Convert to fraction form
    298,735,542.60/448,103,313.90 = 280,595,689.80/x
  3. Step 3: Cross multiply
    298,735,542.60x = 448,103,313.90 × 280,595,689.80
  4. Step 4: Simplify right side
    298,735,542.60x = 125,735,858,465,436,432
  5. Step 5: Solve for x
    x = 125,735,858,465,436,432/298,735,542.60
  6. Step 6: Final answer
    x = 420,893,534.70

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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.