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Finding the Fourth Proportional to 490,005,223.94, 676,198,657.80 and 266,988,751.61

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Solution

The fourth proportional to 490,005,223.94, 676,198,657.80 and 266,988,751.61 is: 368,439,817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,005,223.94 : 676,198,657.80 = 266,988,751.61 : x
  2. Step 2: Convert to fraction form
    490,005,223.94/676,198,657.80 = 266,988,751.61/x
  3. Step 3: Cross multiply
    490,005,223.94x = 676,198,657.80 × 266,988,751.61
  4. Step 4: Simplify right side
    490,005,223.94x = 180,537,435,482,998,560
  5. Step 5: Solve for x
    x = 180,537,435,482,998,560/490,005,223.94
  6. Step 6: Final answer
    x = 368,439,817.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.