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Finding the Fourth Proportional to 291,471.13, 402,231 and 168,987.32

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Solution

The fourth proportional to 291,471.13, 402,231 and 168,987.32 is: 233,202.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,471.13 : 402,231 = 168,987.32 : x
  2. Step 2: Convert to fraction form
    291,471.13/402,231 = 168,987.32/x
  3. Step 3: Cross multiply
    291,471.13x = 402,231 × 168,987.32
  4. Step 4: Simplify right side
    291,471.13x = 67,971,938,710.92
  5. Step 5: Solve for x
    x = 67,971,938,710.92/291,471.13
  6. Step 6: Final answer
    x = 233,202.99

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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.