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Finding the Fourth Proportional to 407,001.44, 610,509.04 and 140,768.88

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Solution

The fourth proportional to 407,001.44, 610,509.04 and 140,768.88 is: 211,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,001.44 : 610,509.04 = 140,768.88 : x
  2. Step 2: Convert to fraction form
    407,001.44/610,509.04 = 140,768.88/x
  3. Step 3: Cross multiply
    407,001.44x = 610,509.04 × 140,768.88
  4. Step 4: Simplify right side
    407,001.44x = 85,940,673,790.68
  5. Step 5: Solve for x
    x = 85,940,673,790.68/407,001.44
  6. Step 6: Final answer
    x = 211,155.70

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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.