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Finding the Fourth Proportional to 691,033,697.80, 948,550,390.25 and 610,963,253.80

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Solution

The fourth proportional to 691,033,697.80, 948,550,390.25 and 610,963,253.80 is: 838,641,349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,033,697.80 : 948,550,390.25 = 610,963,253.80 : x
  2. Step 2: Convert to fraction form
    691,033,697.80/948,550,390.25 = 610,963,253.80/x
  3. Step 3: Cross multiply
    691,033,697.80x = 948,550,390.25 × 610,963,253.80
  4. Step 4: Simplify right side
    691,033,697.80x = 579,529,432,820,399,744
  5. Step 5: Solve for x
    x = 579,529,432,820,399,744/691,033,697.80
  6. Step 6: Final answer
    x = 838,641,349.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.