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Finding the Fourth Proportional to 291,323.52, 402,040.80 and 164,013.12

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Solution

The fourth proportional to 291,323.52, 402,040.80 and 164,013.12 is: 226,346.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,323.52 : 402,040.80 = 164,013.12 : x
  2. Step 2: Convert to fraction form
    291,323.52/402,040.80 = 164,013.12/x
  3. Step 3: Cross multiply
    291,323.52x = 402,040.80 × 164,013.12
  4. Step 4: Simplify right side
    291,323.52x = 65,939,965,975.30
  5. Step 5: Solve for x
    x = 65,939,965,975.30/291,323.52
  6. Step 6: Final answer
    x = 226,346.18

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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.