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Finding the Fourth Proportional to 206,816.55, 310,224.83 and 154,328.55

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Solution

The fourth proportional to 206,816.55, 310,224.83 and 154,328.55 is: 231,492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,816.55 : 310,224.83 = 154,328.55 : x
  2. Step 2: Convert to fraction form
    206,816.55/310,224.83 = 154,328.55/x
  3. Step 3: Cross multiply
    206,816.55x = 310,224.83 × 154,328.55
  4. Step 4: Simplify right side
    206,816.55x = 47,876,547,416.25
  5. Step 5: Solve for x
    x = 47,876,547,416.25/206,816.55
  6. Step 6: Final answer
    x = 231,492.83

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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.