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Finding the Fourth Proportional to 290,529.40, 400,978.22 and 242,054.54

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Solution

The fourth proportional to 290,529.40, 400,978.22 and 242,054.54 is: 334,074.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,529.40 : 400,978.22 = 242,054.54 : x
  2. Step 2: Convert to fraction form
    290,529.40/400,978.22 = 242,054.54/x
  3. Step 3: Cross multiply
    290,529.40x = 400,978.22 × 242,054.54
  4. Step 4: Simplify right side
    290,529.40x = 97,058,598,592.12
  5. Step 5: Solve for x
    x = 97,058,598,592.12/290,529.40
  6. Step 6: Final answer
    x = 334,074.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.