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Finding the Fourth Proportional to 457,700.04, 686,556.63 and 142,137

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Solution

The fourth proportional to 457,700.04, 686,556.63 and 142,137 is: 213,207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,700.04 : 686,556.63 = 142,137 : x
  2. Step 2: Convert to fraction form
    457,700.04/686,556.63 = 142,137/x
  3. Step 3: Cross multiply
    457,700.04x = 686,556.63 × 142,137
  4. Step 4: Simplify right side
    457,700.04x = 97,585,099,718.31
  5. Step 5: Solve for x
    x = 97,585,099,718.31/457,700.04
  6. Step 6: Final answer
    x = 213,207.54

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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.