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Finding the Fourth Proportional to 380,095.34, 570,881.12 and 279,859.66

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Solution

The fourth proportional to 380,095.34, 570,881.12 and 279,859.66 is: 420,332.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,095.34 : 570,881.12 = 279,859.66 : x
  2. Step 2: Convert to fraction form
    380,095.34/570,881.12 = 279,859.66/x
  3. Step 3: Cross multiply
    380,095.34x = 570,881.12 × 279,859.66
  4. Step 4: Simplify right side
    380,095.34x = 159,766,593,317.12
  5. Step 5: Solve for x
    x = 159,766,593,317.12/380,095.34
  6. Step 6: Final answer
    x = 420,332.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.