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Finding the Fourth Proportional to 208,404.30, 312,606.45 and 75,240.30

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Solution

The fourth proportional to 208,404.30, 312,606.45 and 75,240.30 is: 112,860.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,404.30 : 312,606.45 = 75,240.30 : x
  2. Step 2: Convert to fraction form
    208,404.30/312,606.45 = 75,240.30/x
  3. Step 3: Cross multiply
    208,404.30x = 312,606.45 × 75,240.30
  4. Step 4: Simplify right side
    208,404.30x = 23,520,603,079.94
  5. Step 5: Solve for x
    x = 23,520,603,079.94/208,404.30
  6. Step 6: Final answer
    x = 112,860.45

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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.