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Finding the Fourth Proportional to 285,174.64, 393,444.60 and 164,312.80

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Solution

The fourth proportional to 285,174.64, 393,444.60 and 164,312.80 is: 226,696.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,174.64 : 393,444.60 = 164,312.80 : x
  2. Step 2: Convert to fraction form
    285,174.64/393,444.60 = 164,312.80/x
  3. Step 3: Cross multiply
    285,174.64x = 393,444.60 × 164,312.80
  4. Step 4: Simplify right side
    285,174.64x = 64,647,983,870.88
  5. Step 5: Solve for x
    x = 64,647,983,870.88/285,174.64
  6. Step 6: Final answer
    x = 226,696.12

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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.