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Finding the Fourth Proportional to 283,435.42, 391,122.90 and 156,111

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Solution

The fourth proportional to 283,435.42, 391,122.90 and 156,111 is: 215,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,435.42 : 391,122.90 = 156,111 : x
  2. Step 2: Convert to fraction form
    283,435.42/391,122.90 = 156,111/x
  3. Step 3: Cross multiply
    283,435.42x = 391,122.90 × 156,111
  4. Step 4: Simplify right side
    283,435.42x = 61,058,587,041.90
  5. Step 5: Solve for x
    x = 61,058,587,041.90/283,435.42
  6. Step 6: Final answer
    x = 215,423.28

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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.