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Finding the Fourth Proportional to 642,425.14, 886,509.66 and 355,928.14

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Solution

The fourth proportional to 642,425.14, 886,509.66 and 355,928.14 is: 491,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,425.14 : 886,509.66 = 355,928.14 : x
  2. Step 2: Convert to fraction form
    642,425.14/886,509.66 = 355,928.14/x
  3. Step 3: Cross multiply
    642,425.14x = 886,509.66 × 355,928.14
  4. Step 4: Simplify right side
    642,425.14x = 315,533,734,375.83
  5. Step 5: Solve for x
    x = 315,533,734,375.83/642,425.14
  6. Step 6: Final answer
    x = 491,160.32

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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.