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Finding the Fourth Proportional to 291,038.48, 401,627.16 and 170,251.28

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Solution

The fourth proportional to 291,038.48, 401,627.16 and 170,251.28 is: 234,943.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,038.48 : 401,627.16 = 170,251.28 : x
  2. Step 2: Convert to fraction form
    291,038.48/401,627.16 = 170,251.28/x
  3. Step 3: Cross multiply
    291,038.48x = 401,627.16 × 170,251.28
  4. Step 4: Simplify right side
    291,038.48x = 68,377,538,072.76
  5. Step 5: Solve for x
    x = 68,377,538,072.76/291,038.48
  6. Step 6: Final answer
    x = 234,943.29

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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.