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Finding the Fourth Proportional to 630,774, 946,554.66 and 256,797

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Solution

The fourth proportional to 630,774, 946,554.66 and 256,797 is: 385,355.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,774 : 946,554.66 = 256,797 : x
  2. Step 2: Convert to fraction form
    630,774/946,554.66 = 256,797/x
  3. Step 3: Cross multiply
    630,774x = 946,554.66 × 256,797
  4. Step 4: Simplify right side
    630,774x = 243,072,397,024.02
  5. Step 5: Solve for x
    x = 243,072,397,024.02/630,774
  6. Step 6: Final answer
    x = 385,355.76

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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.