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Finding the Fourth Proportional to 286,954.70, 430,508.85 and 256,004.30

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Solution

The fourth proportional to 286,954.70, 430,508.85 and 256,004.30 is: 384,074.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,954.70 : 430,508.85 = 256,004.30 : x
  2. Step 2: Convert to fraction form
    286,954.70/430,508.85 = 256,004.30/x
  3. Step 3: Cross multiply
    286,954.70x = 430,508.85 × 256,004.30
  4. Step 4: Simplify right side
    286,954.70x = 110,212,116,788.06
  5. Step 5: Solve for x
    x = 110,212,116,788.06/286,954.70
  6. Step 6: Final answer
    x = 384,074.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.