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Finding the Fourth Proportional to 291,347.16, 402,066.56 and 164,027.28

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Solution

The fourth proportional to 291,347.16, 402,066.56 and 164,027.28 is: 226,361.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,347.16 : 402,066.56 = 164,027.28 : x
  2. Step 2: Convert to fraction form
    291,347.16/402,066.56 = 164,027.28/x
  3. Step 3: Cross multiply
    291,347.16x = 402,066.56 × 164,027.28
  4. Step 4: Simplify right side
    291,347.16x = 65,949,884,215.76
  5. Step 5: Solve for x
    x = 65,949,884,215.76/291,347.16
  6. Step 6: Final answer
    x = 226,361.86

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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.