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Finding the Fourth Proportional to 290,056, 435,084 and 103,074.88

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Solution

The fourth proportional to 290,056, 435,084 and 103,074.88 is: 154,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,056 : 435,084 = 103,074.88 : x
  2. Step 2: Convert to fraction form
    290,056/435,084 = 103,074.88/x
  3. Step 3: Cross multiply
    290,056x = 435,084 × 103,074.88
  4. Step 4: Simplify right side
    290,056x = 44,846,231,089.92
  5. Step 5: Solve for x
    x = 44,846,231,089.92/290,056
  6. Step 6: Final answer
    x = 154,612.32

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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.