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Finding the Fourth Proportional to 510,079.12, 703,907.22 and 283,724.68

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Solution

The fourth proportional to 510,079.12, 703,907.22 and 283,724.68 is: 391,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,079.12 : 703,907.22 = 283,724.68 : x
  2. Step 2: Convert to fraction form
    510,079.12/703,907.22 = 283,724.68/x
  3. Step 3: Cross multiply
    510,079.12x = 703,907.22 × 283,724.68
  4. Step 4: Simplify right side
    510,079.12x = 199,715,850,744.19
  5. Step 5: Solve for x
    x = 199,715,850,744.19/510,079.12
  6. Step 6: Final answer
    x = 391,538.97

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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.