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Finding the Fourth Proportional to 395,438.76, 593,035.58 and 142,686.57

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Solution

The fourth proportional to 395,438.76, 593,035.58 and 142,686.57 is: 213,985.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,438.76 : 593,035.58 = 142,686.57 : x
  2. Step 2: Convert to fraction form
    395,438.76/593,035.58 = 142,686.57/x
  3. Step 3: Cross multiply
    395,438.76x = 593,035.58 × 142,686.57
  4. Step 4: Simplify right side
    395,438.76x = 84,618,209,119.55
  5. Step 5: Solve for x
    x = 84,618,209,119.55/395,438.76
  6. Step 6: Final answer
    x = 213,985.62

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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.