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Finding the Fourth Proportional to 387,298.34, 580,698.87 and 150,388.58

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Solution

The fourth proportional to 387,298.34, 580,698.87 and 150,388.58 is: 225,486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,298.34 : 580,698.87 = 150,388.58 : x
  2. Step 2: Convert to fraction form
    387,298.34/580,698.87 = 150,388.58/x
  3. Step 3: Cross multiply
    387,298.34x = 580,698.87 × 150,388.58
  4. Step 4: Simplify right side
    387,298.34x = 87,330,478,466.90
  5. Step 5: Solve for x
    x = 87,330,478,466.90/387,298.34
  6. Step 6: Final answer
    x = 225,486.32

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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.