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Finding the Fourth Proportional to 291,042.49, 401,578.16 and 170,160.40

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Solution

The fourth proportional to 291,042.49, 401,578.16 and 170,160.40 is: 234,785.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,042.49 : 401,578.16 = 170,160.40 : x
  2. Step 2: Convert to fraction form
    291,042.49/401,578.16 = 170,160.40/x
  3. Step 3: Cross multiply
    291,042.49x = 401,578.16 × 170,160.40
  4. Step 4: Simplify right side
    291,042.49x = 68,332,697,729.16
  5. Step 5: Solve for x
    x = 68,332,697,729.16/291,042.49
  6. Step 6: Final answer
    x = 234,785.98

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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.