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Finding the Fourth Proportional to 208,024.20, 312,036.30 and 199,276.20

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Solution

The fourth proportional to 208,024.20, 312,036.30 and 199,276.20 is: 298,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,024.20 : 312,036.30 = 199,276.20 : x
  2. Step 2: Convert to fraction form
    208,024.20/312,036.30 = 199,276.20/x
  3. Step 3: Cross multiply
    208,024.20x = 312,036.30 × 199,276.20
  4. Step 4: Simplify right side
    208,024.20x = 62,181,408,126.06
  5. Step 5: Solve for x
    x = 62,181,408,126.06/208,024.20
  6. Step 6: Final answer
    x = 298,914.30

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1.5x scale

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.