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Finding the Fourth Proportional to 630,785.88, 945,828.78 and 209,832.12

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Solution

The fourth proportional to 630,785.88, 945,828.78 and 209,832.12 is: 314,631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,785.88 : 945,828.78 = 209,832.12 : x
  2. Step 2: Convert to fraction form
    630,785.88/945,828.78 = 209,832.12/x
  3. Step 3: Cross multiply
    630,785.88x = 945,828.78 × 209,832.12
  4. Step 4: Simplify right side
    630,785.88x = 198,465,258,064.41
  5. Step 5: Solve for x
    x = 198,465,258,064.41/630,785.88
  6. Step 6: Final answer
    x = 314,631.74

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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.