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Finding the Fourth Proportional to 413,393.32, 570,489.78 and 229,627

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Solution

The fourth proportional to 413,393.32, 570,489.78 and 229,627 is: 316,889.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,393.32 : 570,489.78 = 229,627 : x
  2. Step 2: Convert to fraction form
    413,393.32/570,489.78 = 229,627/x
  3. Step 3: Cross multiply
    413,393.32x = 570,489.78 × 229,627
  4. Step 4: Simplify right side
    413,393.32x = 130,999,856,712.06
  5. Step 5: Solve for x
    x = 130,999,856,712.06/413,393.32
  6. Step 6: Final answer
    x = 316,889.15

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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.