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Finding the Fourth Proportional to 340,574.46, 470,007.34 and 189,671.46

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Solution

The fourth proportional to 340,574.46, 470,007.34 and 189,671.46 is: 261,754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,574.46 : 470,007.34 = 189,671.46 : x
  2. Step 2: Convert to fraction form
    340,574.46/470,007.34 = 189,671.46/x
  3. Step 3: Cross multiply
    340,574.46x = 470,007.34 × 189,671.46
  4. Step 4: Simplify right side
    340,574.46x = 89,146,977,440.16
  5. Step 5: Solve for x
    x = 89,146,977,440.16/340,574.46
  6. Step 6: Final answer
    x = 261,754.73

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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.