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Finding the Fourth Proportional to 497,353.80, 686,348.19 and 270,999.30

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Solution

The fourth proportional to 497,353.80, 686,348.19 and 270,999.30 is: 373,979.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,353.80 : 686,348.19 = 270,999.30 : x
  2. Step 2: Convert to fraction form
    497,353.80/686,348.19 = 270,999.30/x
  3. Step 3: Cross multiply
    497,353.80x = 686,348.19 × 270,999.30
  4. Step 4: Simplify right side
    497,353.80x = 185,999,879,046.27
  5. Step 5: Solve for x
    x = 185,999,879,046.27/497,353.80
  6. Step 6: Final answer
    x = 373,979.00

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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.