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Finding the Fourth Proportional to 569,917, 786,417.42 and 315,233.56

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Solution

The fourth proportional to 569,917, 786,417.42 and 315,233.56 is: 434,984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,917 : 786,417.42 = 315,233.56 : x
  2. Step 2: Convert to fraction form
    569,917/786,417.42 = 315,233.56/x
  3. Step 3: Cross multiply
    569,917x = 786,417.42 × 315,233.56
  4. Step 4: Simplify right side
    569,917x = 247,905,162,952.62
  5. Step 5: Solve for x
    x = 247,905,162,952.62/569,917
  6. Step 6: Final answer
    x = 434,984.68

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1.5x scale

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.