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Finding the Fourth Proportional to 379,965.44, 567,142 and 335,140.16

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Solution

The fourth proportional to 379,965.44, 567,142 and 335,140.16 is: 500,235.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,965.44 : 567,142 = 335,140.16 : x
  2. Step 2: Convert to fraction form
    379,965.44/567,142 = 335,140.16/x
  3. Step 3: Cross multiply
    379,965.44x = 567,142 × 335,140.16
  4. Step 4: Simplify right side
    379,965.44x = 190,072,060,622.72
  5. Step 5: Solve for x
    x = 190,072,060,622.72/379,965.44
  6. Step 6: Final answer
    x = 500,235.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.