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Finding the Fourth Proportional to 387,106.16, 580,659 and 120,889.48

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Solution

The fourth proportional to 387,106.16, 580,659 and 120,889.48 is: 181,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,106.16 : 580,659 = 120,889.48 : x
  2. Step 2: Convert to fraction form
    387,106.16/580,659 = 120,889.48/x
  3. Step 3: Cross multiply
    387,106.16x = 580,659 × 120,889.48
  4. Step 4: Simplify right side
    387,106.16x = 70,195,564,567.32
  5. Step 5: Solve for x
    x = 70,195,564,567.32/387,106.16
  6. Step 6: Final answer
    x = 181,334.15

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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.