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Finding the Fourth Proportional to 328,857.80, 493,286.70 and 292,116.20

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Solution

The fourth proportional to 328,857.80, 493,286.70 and 292,116.20 is: 438,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,857.80 : 493,286.70 = 292,116.20 : x
  2. Step 2: Convert to fraction form
    328,857.80/493,286.70 = 292,116.20/x
  3. Step 3: Cross multiply
    328,857.80x = 493,286.70 × 292,116.20
  4. Step 4: Simplify right side
    328,857.80x = 144,097,036,314.54
  5. Step 5: Solve for x
    x = 144,097,036,314.54/328,857.80
  6. Step 6: Final answer
    x = 438,174.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.