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Finding the Fourth Proportional to 427,784.88, 641,648.28 and 147,498.96

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Solution

The fourth proportional to 427,784.88, 641,648.28 and 147,498.96 is: 221,238.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,784.88 : 641,648.28 = 147,498.96 : x
  2. Step 2: Convert to fraction form
    427,784.88/641,648.28 = 147,498.96/x
  3. Step 3: Cross multiply
    427,784.88x = 641,648.28 × 147,498.96
  4. Step 4: Simplify right side
    427,784.88x = 94,642,453,985.79
  5. Step 5: Solve for x
    x = 94,642,453,985.79/427,784.88
  6. Step 6: Final answer
    x = 221,238.43

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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.