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Finding the Fourth Proportional to 285,408.93, 393,850.27 and 156,347.96

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Solution

The fourth proportional to 285,408.93, 393,850.27 and 156,347.96 is: 215,752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,408.93 : 393,850.27 = 156,347.96 : x
  2. Step 2: Convert to fraction form
    285,408.93/393,850.27 = 156,347.96/x
  3. Step 3: Cross multiply
    285,408.93x = 393,850.27 × 156,347.96
  4. Step 4: Simplify right side
    285,408.93x = 61,577,686,259.95
  5. Step 5: Solve for x
    x = 61,577,686,259.95/285,408.93
  6. Step 6: Final answer
    x = 215,752.49

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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.