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Finding the Fourth Proportional to 1,295,353.92, 1,786,978.32 and 842,479.68

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Solution

The fourth proportional to 1,295,353.92, 1,786,978.32 and 842,479.68 is: 1,162,225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,353.92 : 1,786,978.32 = 842,479.68 : x
  2. Step 2: Convert to fraction form
    1,295,353.92/1,786,978.32 = 842,479.68/x
  3. Step 3: Cross multiply
    1,295,353.92x = 1,786,978.32 × 842,479.68
  4. Step 4: Simplify right side
    1,295,353.92x = 1,505,492,923,200.54
  5. Step 5: Solve for x
    x = 1,505,492,923,200.54/1,295,353.92
  6. Step 6: Final answer
    x = 1,162,225.16

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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.