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Finding the Fourth Proportional to 461,647.41, 637,105.65 and 257,738.40

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Solution

The fourth proportional to 461,647.41, 637,105.65 and 257,738.40 is: 355,696.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,647.41 : 637,105.65 = 257,738.40 : x
  2. Step 2: Convert to fraction form
    461,647.41/637,105.65 = 257,738.40/x
  3. Step 3: Cross multiply
    461,647.41x = 637,105.65 × 257,738.40
  4. Step 4: Simplify right side
    461,647.41x = 164,206,590,861.96
  5. Step 5: Solve for x
    x = 164,206,590,861.96/461,647.41
  6. Step 6: Final answer
    x = 355,696.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.