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Finding the Fourth Proportional to 291,728.64, 402,583.12 and 162,665.60

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Solution

The fourth proportional to 291,728.64, 402,583.12 and 162,665.60 is: 224,477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,728.64 : 402,583.12 = 162,665.60 : x
  2. Step 2: Convert to fraction form
    291,728.64/402,583.12 = 162,665.60/x
  3. Step 3: Cross multiply
    291,728.64x = 402,583.12 × 162,665.60
  4. Step 4: Simplify right side
    291,728.64x = 65,486,424,764.67
  5. Step 5: Solve for x
    x = 65,486,424,764.67/291,728.64
  6. Step 6: Final answer
    x = 224,477.19

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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.