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Finding the Fourth Proportional to 291,380.16, 402,103.68 and 164,056.32

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Solution

The fourth proportional to 291,380.16, 402,103.68 and 164,056.32 is: 226,397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,380.16 : 402,103.68 = 164,056.32 : x
  2. Step 2: Convert to fraction form
    291,380.16/402,103.68 = 164,056.32/x
  3. Step 3: Cross multiply
    291,380.16x = 402,103.68 × 164,056.32
  4. Step 4: Simplify right side
    291,380.16x = 65,967,649,999.26
  5. Step 5: Solve for x
    x = 65,967,649,999.26/291,380.16
  6. Step 6: Final answer
    x = 226,397.19

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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.