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Finding the Fourth Proportional to 291,580.42, 402,379.23 and 164,297.02

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Solution

The fourth proportional to 291,580.42, 402,379.23 and 164,297.02 is: 226,728.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,580.42 : 402,379.23 = 164,297.02 : x
  2. Step 2: Convert to fraction form
    291,580.42/402,379.23 = 164,297.02/x
  3. Step 3: Cross multiply
    291,580.42x = 402,379.23 × 164,297.02
  4. Step 4: Simplify right side
    291,580.42x = 66,109,708,398.89
  5. Step 5: Solve for x
    x = 66,109,708,398.89/291,580.42
  6. Step 6: Final answer
    x = 226,728.90

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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.