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Finding the Fourth Proportional to 333,420, 500,130 and 99,948

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Solution

The fourth proportional to 333,420, 500,130 and 99,948 is: 149,922

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,420 : 500,130 = 99,948 : x
  2. Step 2: Convert to fraction form
    333,420/500,130 = 99,948/x
  3. Step 3: Cross multiply
    333,420x = 500,130 × 99,948
  4. Step 4: Simplify right side
    333,420x = 49,986,993,240
  5. Step 5: Solve for x
    x = 49,986,993,240/333,420
  6. Step 6: Final answer
    x = 149,922

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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.