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Finding the Fourth Proportional to 413,378.82, 570,469.77 and 229,612.50

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Solution

The fourth proportional to 413,378.82, 570,469.77 and 229,612.50 is: 316,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,378.82 : 570,469.77 = 229,612.50 : x
  2. Step 2: Convert to fraction form
    413,378.82/570,469.77 = 229,612.50/x
  3. Step 3: Cross multiply
    413,378.82x = 570,469.77 × 229,612.50
  4. Step 4: Simplify right side
    413,378.82x = 130,986,990,064.13
  5. Step 5: Solve for x
    x = 130,986,990,064.13/413,378.82
  6. Step 6: Final answer
    x = 316,869.14

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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.