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Finding the Fourth Proportional to 360,211.84, 540,317.76 and 138,544

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Solution

The fourth proportional to 360,211.84, 540,317.76 and 138,544 is: 207,816

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,211.84 : 540,317.76 = 138,544 : x
  2. Step 2: Convert to fraction form
    360,211.84/540,317.76 = 138,544/x
  3. Step 3: Cross multiply
    360,211.84x = 540,317.76 × 138,544
  4. Step 4: Simplify right side
    360,211.84x = 74,857,783,741.44
  5. Step 5: Solve for x
    x = 74,857,783,741.44/360,211.84
  6. Step 6: Final answer
    x = 207,816

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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.