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Finding the Fourth Proportional to 461,538, 692,307 and 129,114

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Solution

The fourth proportional to 461,538, 692,307 and 129,114 is: 193,671

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,538 : 692,307 = 129,114 : x
  2. Step 2: Convert to fraction form
    461,538/692,307 = 129,114/x
  3. Step 3: Cross multiply
    461,538x = 692,307 × 129,114
  4. Step 4: Simplify right side
    461,538x = 89,386,525,998
  5. Step 5: Solve for x
    x = 89,386,525,998/461,538
  6. Step 6: Final answer
    x = 193,671

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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.