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Finding the Fourth Proportional to 340,874.40, 470,319.60 and 216,650.16

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Solution

The fourth proportional to 340,874.40, 470,319.60 and 216,650.16 is: 298,921.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,874.40 : 470,319.60 = 216,650.16 : x
  2. Step 2: Convert to fraction form
    340,874.40/470,319.60 = 216,650.16/x
  3. Step 3: Cross multiply
    340,874.40x = 470,319.60 × 216,650.16
  4. Step 4: Simplify right side
    340,874.40x = 101,894,816,591.14
  5. Step 5: Solve for x
    x = 101,894,816,591.14/340,874.40
  6. Step 6: Final answer
    x = 298,921.88

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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.