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Finding the Fourth Proportional to 630,317.13, 945,483.90 and 209,593

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Solution

The fourth proportional to 630,317.13, 945,483.90 and 209,593 is: 314,392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,317.13 : 945,483.90 = 209,593 : x
  2. Step 2: Convert to fraction form
    630,317.13/945,483.90 = 209,593/x
  3. Step 3: Cross multiply
    630,317.13x = 945,483.90 × 209,593
  4. Step 4: Simplify right side
    630,317.13x = 198,166,807,052.70
  5. Step 5: Solve for x
    x = 198,166,807,052.70/630,317.13
  6. Step 6: Final answer
    x = 314,392.23

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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.