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Finding the Fourth Proportional to 509,757.22, 703,501.77 and 283,436.74

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Solution

The fourth proportional to 509,757.22, 703,501.77 and 283,436.74 is: 391,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,757.22 : 703,501.77 = 283,436.74 : x
  2. Step 2: Convert to fraction form
    509,757.22/703,501.77 = 283,436.74/x
  3. Step 3: Cross multiply
    509,757.22x = 703,501.77 × 283,436.74
  4. Step 4: Simplify right side
    509,757.22x = 199,398,248,273.03
  5. Step 5: Solve for x
    x = 199,398,248,273.03/509,757.22
  6. Step 6: Final answer
    x = 391,163.17

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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.