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Finding the Fourth Proportional to 291,499.02, 402,258.15 and 164,186.46

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Solution

The fourth proportional to 291,499.02, 402,258.15 and 164,186.46 is: 226,571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,499.02 : 402,258.15 = 164,186.46 : x
  2. Step 2: Convert to fraction form
    291,499.02/402,258.15 = 164,186.46/x
  3. Step 3: Cross multiply
    291,499.02x = 402,258.15 × 164,186.46
  4. Step 4: Simplify right side
    291,499.02x = 66,045,341,654.65
  5. Step 5: Solve for x
    x = 66,045,341,654.65/291,499.02
  6. Step 6: Final answer
    x = 226,571.40

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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.