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Finding the Fourth Proportional to 291,445.40, 402,186.80 and 164,118.26

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Solution

The fourth proportional to 291,445.40, 402,186.80 and 164,118.26 is: 226,478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,445.40 : 402,186.80 = 164,118.26 : x
  2. Step 2: Convert to fraction form
    291,445.40/402,186.80 = 164,118.26/x
  3. Step 3: Cross multiply
    291,445.40x = 402,186.80 × 164,118.26
  4. Step 4: Simplify right side
    291,445.40x = 66,006,197,810.97
  5. Step 5: Solve for x
    x = 66,006,197,810.97/291,445.40
  6. Step 6: Final answer
    x = 226,478.78

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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.