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Finding the Fourth Proportional to 285,354.63, 427,665.51 and 107,649.90

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Solution

The fourth proportional to 285,354.63, 427,665.51 and 107,649.90 is: 161,336.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,354.63 : 427,665.51 = 107,649.90 : x
  2. Step 2: Convert to fraction form
    285,354.63/427,665.51 = 107,649.90/x
  3. Step 3: Cross multiply
    285,354.63x = 427,665.51 × 107,649.90
  4. Step 4: Simplify right side
    285,354.63x = 46,038,149,384.95
  5. Step 5: Solve for x
    x = 46,038,149,384.95/285,354.63
  6. Step 6: Final answer
    x = 161,336.61

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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.