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Finding the Fourth Proportional to 475,289.40, 713,042.10 and 159,778.20

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Solution

The fourth proportional to 475,289.40, 713,042.10 and 159,778.20 is: 239,703.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,289.40 : 713,042.10 = 159,778.20 : x
  2. Step 2: Convert to fraction form
    475,289.40/713,042.10 = 159,778.20/x
  3. Step 3: Cross multiply
    475,289.40x = 713,042.10 × 159,778.20
  4. Step 4: Simplify right side
    475,289.40x = 113,928,583,262.22
  5. Step 5: Solve for x
    x = 113,928,583,262.22/475,289.40
  6. Step 6: Final answer
    x = 239,703.61

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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.