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Finding the Fourth Proportional to 387,689.86, 582,199.08 and 210,542.86

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Solution

The fourth proportional to 387,689.86, 582,199.08 and 210,542.86 is: 316,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,689.86 : 582,199.08 = 210,542.86 : x
  2. Step 2: Convert to fraction form
    387,689.86/582,199.08 = 210,542.86/x
  3. Step 3: Cross multiply
    387,689.86x = 582,199.08 × 210,542.86
  4. Step 4: Simplify right side
    387,689.86x = 122,577,859,392.57
  5. Step 5: Solve for x
    x = 122,577,859,392.57/387,689.86
  6. Step 6: Final answer
    x = 316,175.05

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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.