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Finding the Fourth Proportional to 291,510.72, 402,287.04 and 164,174.40

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Solution

The fourth proportional to 291,510.72, 402,287.04 and 164,174.40 is: 226,561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,510.72 : 402,287.04 = 164,174.40 : x
  2. Step 2: Convert to fraction form
    291,510.72/402,287.04 = 164,174.40/x
  3. Step 3: Cross multiply
    291,510.72x = 402,287.04 × 164,174.40
  4. Step 4: Simplify right side
    291,510.72x = 66,045,233,419.78
  5. Step 5: Solve for x
    x = 66,045,233,419.78/291,510.72
  6. Step 6: Final answer
    x = 226,561.94

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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.