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Finding the Fourth Proportional to 291,940.84, 402,878.98 and 164,616.20

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Solution

The fourth proportional to 291,940.84, 402,878.98 and 164,616.20 is: 227,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,940.84 : 402,878.98 = 164,616.20 : x
  2. Step 2: Convert to fraction form
    291,940.84/402,878.98 = 164,616.20/x
  3. Step 3: Cross multiply
    291,940.84x = 402,878.98 × 164,616.20
  4. Step 4: Simplify right side
    291,940.84x = 66,320,406,747.48
  5. Step 5: Solve for x
    x = 66,320,406,747.48/291,940.84
  6. Step 6: Final answer
    x = 227,170.71

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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.