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Finding the Fourth Proportional to 429,726.78, 588,438.43 and 412,786.98

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Solution

The fourth proportional to 429,726.78, 588,438.43 and 412,786.98 is: 565,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,726.78 : 588,438.43 = 412,786.98 : x
  2. Step 2: Convert to fraction form
    429,726.78/588,438.43 = 412,786.98/x
  3. Step 3: Cross multiply
    429,726.78x = 588,438.43 × 412,786.98
  4. Step 4: Simplify right side
    429,726.78x = 242,899,718,461.48
  5. Step 5: Solve for x
    x = 242,899,718,461.48/429,726.78
  6. Step 6: Final answer
    x = 565,242.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.