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Finding the Fourth Proportional to 509,821.48, 703,549.38 and 283,465

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Solution

The fourth proportional to 509,821.48, 703,549.38 and 283,465 is: 391,179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,821.48 : 703,549.38 = 283,465 : x
  2. Step 2: Convert to fraction form
    509,821.48/703,549.38 = 283,465/x
  3. Step 3: Cross multiply
    509,821.48x = 703,549.38 × 283,465
  4. Step 4: Simplify right side
    509,821.48x = 199,431,625,001.70
  5. Step 5: Solve for x
    x = 199,431,625,001.70/509,821.48
  6. Step 6: Final answer
    x = 391,179.33

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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.