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Finding the Fourth Proportional to 413,356,287.80, 620,034,431.70 and 284,216,124.80

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Solution

The fourth proportional to 413,356,287.80, 620,034,431.70 and 284,216,124.80 is: 426,324,187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,356,287.80 : 620,034,431.70 = 284,216,124.80 : x
  2. Step 2: Convert to fraction form
    413,356,287.80/620,034,431.70 = 284,216,124.80/x
  3. Step 3: Cross multiply
    413,356,287.80x = 620,034,431.70 × 284,216,124.80
  4. Step 4: Simplify right side
    413,356,287.80x = 176,223,783,420,344,288
  5. Step 5: Solve for x
    x = 176,223,783,420,344,288/413,356,287.80
  6. Step 6: Final answer
    x = 426,324,187.20

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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.