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Finding the Fourth Proportional to 291,346.38, 402,053.55 and 164,021.58

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Solution

The fourth proportional to 291,346.38, 402,053.55 and 164,021.58 is: 226,347.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,346.38 : 402,053.55 = 164,021.58 : x
  2. Step 2: Convert to fraction form
    291,346.38/402,053.55 = 164,021.58/x
  3. Step 3: Cross multiply
    291,346.38x = 402,053.55 × 164,021.58
  4. Step 4: Simplify right side
    291,346.38x = 65,945,458,515.61
  5. Step 5: Solve for x
    x = 65,945,458,515.61/291,346.38
  6. Step 6: Final answer
    x = 226,347.27

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1.5x scale

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.