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Finding the Fourth Proportional to 285,872.61, 394,495.05 and 156,809.25

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Solution

The fourth proportional to 285,872.61, 394,495.05 and 156,809.25 is: 216,391.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,872.61 : 394,495.05 = 156,809.25 : x
  2. Step 2: Convert to fraction form
    285,872.61/394,495.05 = 156,809.25/x
  3. Step 3: Cross multiply
    285,872.61x = 394,495.05 × 156,809.25
  4. Step 4: Simplify right side
    285,872.61x = 61,860,472,919.21
  5. Step 5: Solve for x
    x = 61,860,472,919.21/285,872.61
  6. Step 6: Final answer
    x = 216,391.74

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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.