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Finding the Fourth Proportional to 340,874.92, 470,423.46 and 189,973

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Solution

The fourth proportional to 340,874.92, 470,423.46 and 189,973 is: 262,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,874.92 : 470,423.46 = 189,973 : x
  2. Step 2: Convert to fraction form
    340,874.92/470,423.46 = 189,973/x
  3. Step 3: Cross multiply
    340,874.92x = 470,423.46 × 189,973
  4. Step 4: Simplify right side
    340,874.92x = 89,367,755,966.58
  5. Step 5: Solve for x
    x = 89,367,755,966.58/340,874.92
  6. Step 6: Final answer
    x = 262,171.70

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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.