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Finding the Fourth Proportional to 457,698.75, 686,548.26 and 142,155.69

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Solution

The fourth proportional to 457,698.75, 686,548.26 and 142,155.69 is: 213,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,698.75 : 686,548.26 = 142,155.69 : x
  2. Step 2: Convert to fraction form
    457,698.75/686,548.26 = 142,155.69/x
  3. Step 3: Cross multiply
    457,698.75x = 686,548.26 × 142,155.69
  4. Step 4: Simplify right side
    457,698.75x = 97,596,741,618.60
  5. Step 5: Solve for x
    x = 97,596,741,618.60/457,698.75
  6. Step 6: Final answer
    x = 213,233.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.