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Finding the Fourth Proportional to 746,229.78, 1,029,798.09 and 406,698.03

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Solution

The fourth proportional to 746,229.78, 1,029,798.09 and 406,698.03 is: 561,243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,229.78 : 1,029,798.09 = 406,698.03 : x
  2. Step 2: Convert to fraction form
    746,229.78/1,029,798.09 = 406,698.03/x
  3. Step 3: Cross multiply
    746,229.78x = 1,029,798.09 × 406,698.03
  4. Step 4: Simplify right side
    746,229.78x = 418,816,854,500.76
  5. Step 5: Solve for x
    x = 418,816,854,500.76/746,229.78
  6. Step 6: Final answer
    x = 561,243.82

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1.5x scale

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.