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Finding the Fourth Proportional to 506,458.80, 759,688.20 and 206,939.10

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Solution

The fourth proportional to 506,458.80, 759,688.20 and 206,939.10 is: 310,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,458.80 : 759,688.20 = 206,939.10 : x
  2. Step 2: Convert to fraction form
    506,458.80/759,688.20 = 206,939.10/x
  3. Step 3: Cross multiply
    506,458.80x = 759,688.20 × 206,939.10
  4. Step 4: Simplify right side
    506,458.80x = 157,209,192,388.62
  5. Step 5: Solve for x
    x = 157,209,192,388.62/506,458.80
  6. Step 6: Final answer
    x = 310,408.65

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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.