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Finding the Fourth Proportional to 551,638,665.80, 827,457,998.70 and 188,144,880.20

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Solution

The fourth proportional to 551,638,665.80, 827,457,998.70 and 188,144,880.20 is: 282,217,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,638,665.80 : 827,457,998.70 = 188,144,880.20 : x
  2. Step 2: Convert to fraction form
    551,638,665.80/827,457,998.70 = 188,144,880.20/x
  3. Step 3: Cross multiply
    551,638,665.80x = 827,457,998.70 × 188,144,880.20
  4. Step 4: Simplify right side
    551,638,665.80x = 155,681,986,035,943,264
  5. Step 5: Solve for x
    x = 155,681,986,035,943,264/551,638,665.80
  6. Step 6: Final answer
    x = 282,217,320.30

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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.