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Finding the Fourth Proportional to 298,735,539.60, 448,103,309.40 and 280,595,686.80

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Solution

The fourth proportional to 298,735,539.60, 448,103,309.40 and 280,595,686.80 is: 420,893,530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,735,539.60 : 448,103,309.40 = 280,595,686.80 : x
  2. Step 2: Convert to fraction form
    298,735,539.60/448,103,309.40 = 280,595,686.80/x
  3. Step 3: Cross multiply
    298,735,539.60x = 448,103,309.40 × 280,595,686.80
  4. Step 4: Simplify right side
    298,735,539.60x = 125,735,855,858,445,888
  5. Step 5: Solve for x
    x = 125,735,855,858,445,888/298,735,539.60
  6. Step 6: Final answer
    x = 420,893,530.20

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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.