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Finding the Fourth Proportional to 461,030, 691,545 and 149,734

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Solution

The fourth proportional to 461,030, 691,545 and 149,734 is: 224,601

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,030 : 691,545 = 149,734 : x
  2. Step 2: Convert to fraction form
    461,030/691,545 = 149,734/x
  3. Step 3: Cross multiply
    461,030x = 691,545 × 149,734
  4. Step 4: Simplify right side
    461,030x = 103,547,799,030
  5. Step 5: Solve for x
    x = 103,547,799,030/461,030
  6. Step 6: Final answer
    x = 224,601

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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.