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Finding the Fourth Proportional to 630,302.91, 945,462.57 and 209,578.78

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Solution

The fourth proportional to 630,302.91, 945,462.57 and 209,578.78 is: 314,370.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,302.91 : 945,462.57 = 209,578.78 : x
  2. Step 2: Convert to fraction form
    630,302.91/945,462.57 = 209,578.78/x
  3. Step 3: Cross multiply
    630,302.91x = 945,462.57 × 209,578.78
  4. Step 4: Simplify right side
    630,302.91x = 198,148,892,352.17
  5. Step 5: Solve for x
    x = 198,148,892,352.17/630,302.91
  6. Step 6: Final answer
    x = 314,370.90

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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.