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Finding the Fourth Proportional to 300,475.20, 414,656.64 and 164,510.40

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Solution

The fourth proportional to 300,475.20, 414,656.64 and 164,510.40 is: 227,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,475.20 : 414,656.64 = 164,510.40 : x
  2. Step 2: Convert to fraction form
    300,475.20/414,656.64 = 164,510.40/x
  3. Step 3: Cross multiply
    300,475.20x = 414,656.64 × 164,510.40
  4. Step 4: Simplify right side
    300,475.20x = 68,215,329,709.06
  5. Step 5: Solve for x
    x = 68,215,329,709.06/300,475.20
  6. Step 6: Final answer
    x = 227,024.83

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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.