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Finding the Fourth Proportional to 320,469.42, 442,229.79 and 175,246.38

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Solution

The fourth proportional to 320,469.42, 442,229.79 and 175,246.38 is: 241,830.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,469.42 : 442,229.79 = 175,246.38 : x
  2. Step 2: Convert to fraction form
    320,469.42/442,229.79 = 175,246.38/x
  3. Step 3: Cross multiply
    320,469.42x = 442,229.79 × 175,246.38
  4. Step 4: Simplify right side
    320,469.42x = 77,499,170,482.83
  5. Step 5: Solve for x
    x = 77,499,170,482.83/320,469.42
  6. Step 6: Final answer
    x = 241,830.16

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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.