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Finding the Fourth Proportional to 471,026.40, 650,021.20 and 256,171.20

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Solution

The fourth proportional to 471,026.40, 650,021.20 and 256,171.20 is: 353,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,026.40 : 650,021.20 = 256,171.20 : x
  2. Step 2: Convert to fraction form
    471,026.40/650,021.20 = 256,171.20/x
  3. Step 3: Cross multiply
    471,026.40x = 650,021.20 × 256,171.20
  4. Step 4: Simplify right side
    471,026.40x = 166,516,710,829.44
  5. Step 5: Solve for x
    x = 166,516,710,829.44/471,026.40
  6. Step 6: Final answer
    x = 353,518.85

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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.