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Finding the Fourth Proportional to 497,108.36, 686,009.30 and 270,753.86

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Solution

The fourth proportional to 497,108.36, 686,009.30 and 270,753.86 is: 373,640.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,108.36 : 686,009.30 = 270,753.86 : x
  2. Step 2: Convert to fraction form
    497,108.36/686,009.30 = 270,753.86/x
  3. Step 3: Cross multiply
    497,108.36x = 686,009.30 × 270,753.86
  4. Step 4: Simplify right side
    497,108.36x = 185,739,661,187.08
  5. Step 5: Solve for x
    x = 185,739,661,187.08/497,108.36
  6. Step 6: Final answer
    x = 373,640.19

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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.