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Finding the Fourth Proportional to 290,416.29, 400,783.44 and 163,094.61

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Solution

The fourth proportional to 290,416.29, 400,783.44 and 163,094.61 is: 225,075.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,416.29 : 400,783.44 = 163,094.61 : x
  2. Step 2: Convert to fraction form
    290,416.29/400,783.44 = 163,094.61/x
  3. Step 3: Cross multiply
    290,416.29x = 400,783.44 × 163,094.61
  4. Step 4: Simplify right side
    290,416.29x = 65,365,618,841.26
  5. Step 5: Solve for x
    x = 65,365,618,841.26/290,416.29
  6. Step 6: Final answer
    x = 225,075.59

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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.