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Finding the Fourth Proportional to 291,888.47, 402,790.46 and 164,555.87

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Solution

The fourth proportional to 291,888.47, 402,790.46 and 164,555.87 is: 227,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,888.47 : 402,790.46 = 164,555.87 : x
  2. Step 2: Convert to fraction form
    291,888.47/402,790.46 = 164,555.87/x
  3. Step 3: Cross multiply
    291,888.47x = 402,790.46 × 164,555.87
  4. Step 4: Simplify right side
    291,888.47x = 66,281,531,736.27
  5. Step 5: Solve for x
    x = 66,281,531,736.27/291,888.47
  6. Step 6: Final answer
    x = 227,078.28

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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.