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Finding the Fourth Proportional to 569,739.89, 786,209.06 and 311,565.48

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Solution

The fourth proportional to 569,739.89, 786,209.06 and 311,565.48 is: 429,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,739.89 : 786,209.06 = 311,565.48 : x
  2. Step 2: Convert to fraction form
    569,739.89/786,209.06 = 311,565.48/x
  3. Step 3: Cross multiply
    569,739.89x = 786,209.06 × 311,565.48
  4. Step 4: Simplify right side
    569,739.89x = 244,955,601,601.42
  5. Step 5: Solve for x
    x = 244,955,601,601.42/569,739.89
  6. Step 6: Final answer
    x = 429,942.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.