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Finding the Fourth Proportional to 205,613.40, 308,420.10 and 158,899.80

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Solution

The fourth proportional to 205,613.40, 308,420.10 and 158,899.80 is: 238,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,613.40 : 308,420.10 = 158,899.80 : x
  2. Step 2: Convert to fraction form
    205,613.40/308,420.10 = 158,899.80/x
  3. Step 3: Cross multiply
    205,613.40x = 308,420.10 × 158,899.80
  4. Step 4: Simplify right side
    205,613.40x = 49,007,892,205.98
  5. Step 5: Solve for x
    x = 49,007,892,205.98/205,613.40
  6. Step 6: Final answer
    x = 238,349.70

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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.