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Finding the Fourth Proportional to 569,830.56, 786,324.69 and 315,186

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Solution

The fourth proportional to 569,830.56, 786,324.69 and 315,186 is: 434,933.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,830.56 : 786,324.69 = 315,186 : x
  2. Step 2: Convert to fraction form
    569,830.56/786,324.69 = 315,186/x
  3. Step 3: Cross multiply
    569,830.56x = 786,324.69 × 315,186
  4. Step 4: Simplify right side
    569,830.56x = 247,838,533,742.34
  5. Step 5: Solve for x
    x = 247,838,533,742.34/569,830.56
  6. Step 6: Final answer
    x = 434,933.73

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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.