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Finding the Fourth Proportional to 415,553, 623,433.18 and 120,065

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Solution

The fourth proportional to 415,553, 623,433.18 and 120,065 is: 180,127.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,553 : 623,433.18 = 120,065 : x
  2. Step 2: Convert to fraction form
    415,553/623,433.18 = 120,065/x
  3. Step 3: Cross multiply
    415,553x = 623,433.18 × 120,065
  4. Step 4: Simplify right side
    415,553x = 74,852,504,756.70
  5. Step 5: Solve for x
    x = 74,852,504,756.70/415,553
  6. Step 6: Final answer
    x = 180,127.46

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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.