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Finding the Fourth Proportional to 395,408.02, 592,989.35 and 142,655.65

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Solution

The fourth proportional to 395,408.02, 592,989.35 and 142,655.65 is: 213,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,408.02 : 592,989.35 = 142,655.65 : x
  2. Step 2: Convert to fraction form
    395,408.02/592,989.35 = 142,655.65/x
  3. Step 3: Cross multiply
    395,408.02x = 592,989.35 × 142,655.65
  4. Step 4: Simplify right side
    395,408.02x = 84,593,280,041.49
  5. Step 5: Solve for x
    x = 84,593,280,041.49/395,408.02
  6. Step 6: Final answer
    x = 213,939.21

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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.