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Finding the Fourth Proportional to 521,824, 720,117.12 and 283,360

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Solution

The fourth proportional to 521,824, 720,117.12 and 283,360 is: 391,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,824 : 720,117.12 = 283,360 : x
  2. Step 2: Convert to fraction form
    521,824/720,117.12 = 283,360/x
  3. Step 3: Cross multiply
    521,824x = 720,117.12 × 283,360
  4. Step 4: Simplify right side
    521,824x = 204,052,387,123.20
  5. Step 5: Solve for x
    x = 204,052,387,123.20/521,824
  6. Step 6: Final answer
    x = 391,036.80

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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.