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Finding the Fourth Proportional to 340,574.61, 470,007.54 and 189,671.61

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Solution

The fourth proportional to 340,574.61, 470,007.54 and 189,671.61 is: 261,754.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,574.61 : 470,007.54 = 189,671.61 : x
  2. Step 2: Convert to fraction form
    340,574.61/470,007.54 = 189,671.61/x
  3. Step 3: Cross multiply
    340,574.61x = 470,007.54 × 189,671.61
  4. Step 4: Simplify right side
    340,574.61x = 89,147,086,823.94
  5. Step 5: Solve for x
    x = 89,147,086,823.94/340,574.61
  6. Step 6: Final answer
    x = 261,754.94

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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.