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Finding the Fourth Proportional to 509,954.40, 703,737.78 and 283,599.90

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Solution

The fourth proportional to 509,954.40, 703,737.78 and 283,599.90 is: 391,368.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,954.40 : 703,737.78 = 283,599.90 : x
  2. Step 2: Convert to fraction form
    509,954.40/703,737.78 = 283,599.90/x
  3. Step 3: Cross multiply
    509,954.40x = 703,737.78 × 283,599.90
  4. Step 4: Simplify right side
    509,954.40x = 199,579,964,034.22
  5. Step 5: Solve for x
    x = 199,579,964,034.22/509,954.40
  6. Step 6: Final answer
    x = 391,368.26

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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.