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Finding the Fourth Proportional to 291,460.60, 402,217.10 and 164,138.36

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Solution

The fourth proportional to 291,460.60, 402,217.10 and 164,138.36 is: 226,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,460.60 : 402,217.10 = 164,138.36 : x
  2. Step 2: Convert to fraction form
    291,460.60/402,217.10 = 164,138.36/x
  3. Step 3: Cross multiply
    291,460.60x = 402,217.10 × 164,138.36
  4. Step 4: Simplify right side
    291,460.60x = 66,019,255,157.96
  5. Step 5: Solve for x
    x = 66,019,255,157.96/291,460.60
  6. Step 6: Final answer
    x = 226,511.77

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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.