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Finding the Fourth Proportional to 642,357.27, 886,869 and 413,017.56

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Solution

The fourth proportional to 642,357.27, 886,869 and 413,017.56 is: 570,231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,357.27 : 886,869 = 413,017.56 : x
  2. Step 2: Convert to fraction form
    642,357.27/886,869 = 413,017.56/x
  3. Step 3: Cross multiply
    642,357.27x = 886,869 × 413,017.56
  4. Step 4: Simplify right side
    642,357.27x = 366,292,470,419.64
  5. Step 5: Solve for x
    x = 366,292,470,419.64/642,357.27
  6. Step 6: Final answer
    x = 570,231.69

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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.