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Finding the Fourth Proportional to 284,901.55, 393,137.70 and 157,574.41

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Solution

The fourth proportional to 284,901.55, 393,137.70 and 157,574.41 is: 217,438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,901.55 : 393,137.70 = 157,574.41 : x
  2. Step 2: Convert to fraction form
    284,901.55/393,137.70 = 157,574.41/x
  3. Step 3: Cross multiply
    284,901.55x = 393,137.70 × 157,574.41
  4. Step 4: Simplify right side
    284,901.55x = 61,948,441,126.26
  5. Step 5: Solve for x
    x = 61,948,441,126.26/284,901.55
  6. Step 6: Final answer
    x = 217,438.06

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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.