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Finding the Fourth Proportional to 630,932, 945,931.44 and 381,558.56

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Solution

The fourth proportional to 630,932, 945,931.44 and 381,558.56 is: 572,055.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,932 : 945,931.44 = 381,558.56 : x
  2. Step 2: Convert to fraction form
    630,932/945,931.44 = 381,558.56/x
  3. Step 3: Cross multiply
    630,932x = 945,931.44 × 381,558.56
  4. Step 4: Simplify right side
    630,932x = 360,928,238,105.13
  5. Step 5: Solve for x
    x = 360,928,238,105.13/630,932
  6. Step 6: Final answer
    x = 572,055.69

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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.