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Finding the Fourth Proportional to 291,061.64, 401,661.24 and 163,737.20

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Solution

The fourth proportional to 291,061.64, 401,661.24 and 163,737.20 is: 225,955.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,061.64 : 401,661.24 = 163,737.20 : x
  2. Step 2: Convert to fraction form
    291,061.64/401,661.24 = 163,737.20/x
  3. Step 3: Cross multiply
    291,061.64x = 401,661.24 × 163,737.20
  4. Step 4: Simplify right side
    291,061.64x = 65,766,886,786.13
  5. Step 5: Solve for x
    x = 65,766,886,786.13/291,061.64
  6. Step 6: Final answer
    x = 225,955.19

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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.