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Finding the Fourth Proportional to 284,435.43, 392,500.94 and 157,101

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Solution

The fourth proportional to 284,435.43, 392,500.94 and 157,101 is: 216,788.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,435.43 : 392,500.94 = 157,101 : x
  2. Step 2: Convert to fraction form
    284,435.43/392,500.94 = 157,101/x
  3. Step 3: Cross multiply
    284,435.43x = 392,500.94 × 157,101
  4. Step 4: Simplify right side
    284,435.43x = 61,662,289,389.44
  5. Step 5: Solve for x
    x = 61,662,289,389.44/284,435.43
  6. Step 6: Final answer
    x = 216,788.36

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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.