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Finding the Fourth Proportional to 461,630.09, 637,047.11 and 257,669.21

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Solution

The fourth proportional to 461,630.09, 637,047.11 and 257,669.21 is: 355,582.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,630.09 : 637,047.11 = 257,669.21 : x
  2. Step 2: Convert to fraction form
    461,630.09/637,047.11 = 257,669.21/x
  3. Step 3: Cross multiply
    461,630.09x = 637,047.11 × 257,669.21
  4. Step 4: Simplify right side
    461,630.09x = 164,147,424,278.14
  5. Step 5: Solve for x
    x = 164,147,424,278.14/461,630.09
  6. Step 6: Final answer
    x = 355,582.16

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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.