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Finding the Fourth Proportional to 291,836, 402,739.83 and 164,511.59

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Solution

The fourth proportional to 291,836, 402,739.83 and 164,511.59 is: 227,029.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,836 : 402,739.83 = 164,511.59 : x
  2. Step 2: Convert to fraction form
    291,836/402,739.83 = 164,511.59/x
  3. Step 3: Cross multiply
    291,836x = 402,739.83 × 164,511.59
  4. Step 4: Simplify right side
    291,836x = 66,255,369,789.63
  5. Step 5: Solve for x
    x = 66,255,369,789.63/291,836
  6. Step 6: Final answer
    x = 227,029.46

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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.