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Finding the Fourth Proportional to 285,158.46, 393,537.72 and 164,307.58

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Solution

The fourth proportional to 285,158.46, 393,537.72 and 164,307.58 is: 226,755.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,158.46 : 393,537.72 = 164,307.58 : x
  2. Step 2: Convert to fraction form
    285,158.46/393,537.72 = 164,307.58/x
  3. Step 3: Cross multiply
    285,158.46x = 393,537.72 × 164,307.58
  4. Step 4: Simplify right side
    285,158.46x = 64,661,230,411.92
  5. Step 5: Solve for x
    x = 64,661,230,411.92/285,158.46
  6. Step 6: Final answer
    x = 226,755.43

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1.5x scale

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.