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Finding the Fourth Proportional to 269,495,912.40, 403,488,041.40 and 261,937,640.40

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Solution

The fourth proportional to 269,495,912.40, 403,488,041.40 and 261,937,640.40 is: 392,171,831.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,495,912.40 : 403,488,041.40 = 261,937,640.40 : x
  2. Step 2: Convert to fraction form
    269,495,912.40/403,488,041.40 = 261,937,640.40/x
  3. Step 3: Cross multiply
    269,495,912.40x = 403,488,041.40 × 261,937,640.40
  4. Step 4: Simplify right side
    269,495,912.40x = 105,688,705,493,933,504
  5. Step 5: Solve for x
    x = 105,688,705,493,933,504/269,495,912.40
  6. Step 6: Final answer
    x = 392,171,831.30

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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.