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Finding the Fourth Proportional to 298,805,265.60, 448,207,898.40 and 211,129,310.40

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Solution

The fourth proportional to 298,805,265.60, 448,207,898.40 and 211,129,310.40 is: 316,693,965.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,805,265.60 : 448,207,898.40 = 211,129,310.40 : x
  2. Step 2: Convert to fraction form
    298,805,265.60/448,207,898.40 = 211,129,310.40/x
  3. Step 3: Cross multiply
    298,805,265.60x = 448,207,898.40 × 211,129,310.40
  4. Step 4: Simplify right side
    298,805,265.60x = 94,629,824,505,025,264
  5. Step 5: Solve for x
    x = 94,629,824,505,025,264/298,805,265.60
  6. Step 6: Final answer
    x = 316,693,965.60

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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.