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Finding the Fourth Proportional to 509,302.24, 702,836.88 and 279,874.30

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Solution

The fourth proportional to 509,302.24, 702,836.88 and 279,874.30 is: 386,226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,302.24 : 702,836.88 = 279,874.30 : x
  2. Step 2: Convert to fraction form
    509,302.24/702,836.88 = 279,874.30/x
  3. Step 3: Cross multiply
    509,302.24x = 702,836.88 × 279,874.30
  4. Step 4: Simplify right side
    509,302.24x = 196,705,979,804.18
  5. Step 5: Solve for x
    x = 196,705,979,804.18/509,302.24
  6. Step 6: Final answer
    x = 386,226.42

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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.