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Finding the Fourth Proportional to 509,353.40, 702,920.28 and 279,908.96

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Solution

The fourth proportional to 509,353.40, 702,920.28 and 279,908.96 is: 386,281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,353.40 : 702,920.28 = 279,908.96 : x
  2. Step 2: Convert to fraction form
    509,353.40/702,920.28 = 279,908.96/x
  3. Step 3: Cross multiply
    509,353.40x = 702,920.28 × 279,908.96
  4. Step 4: Simplify right side
    509,353.40x = 196,753,684,537.71
  5. Step 5: Solve for x
    x = 196,753,684,537.71/509,353.40
  6. Step 6: Final answer
    x = 386,281.28

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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.