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Finding the Fourth Proportional to 291,883.10, 402,798.02 and 164,557.78

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Solution

The fourth proportional to 291,883.10, 402,798.02 and 164,557.78 is: 227,089.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,883.10 : 402,798.02 = 164,557.78 : x
  2. Step 2: Convert to fraction form
    291,883.10/402,798.02 = 164,557.78/x
  3. Step 3: Cross multiply
    291,883.10x = 402,798.02 × 164,557.78
  4. Step 4: Simplify right side
    291,883.10x = 66,283,546,129.81
  5. Step 5: Solve for x
    x = 66,283,546,129.81/291,883.10
  6. Step 6: Final answer
    x = 227,089.36

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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.