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Finding the Fourth Proportional to 291,809.86, 402,728.61 and 171,052.64

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Solution

The fourth proportional to 291,809.86, 402,728.61 and 171,052.64 is: 236,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,809.86 : 402,728.61 = 171,052.64 : x
  2. Step 2: Convert to fraction form
    291,809.86/402,728.61 = 171,052.64/x
  3. Step 3: Cross multiply
    291,809.86x = 402,728.61 × 171,052.64
  4. Step 4: Simplify right side
    291,809.86x = 68,887,791,944.03
  5. Step 5: Solve for x
    x = 68,887,791,944.03/291,809.86
  6. Step 6: Final answer
    x = 236,070.82

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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.