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Finding the Fourth Proportional to 290,762.64, 401,252.69 and 161,698.30

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Solution

The fourth proportional to 290,762.64, 401,252.69 and 161,698.30 is: 223,143.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,762.64 : 401,252.69 = 161,698.30 : x
  2. Step 2: Convert to fraction form
    290,762.64/401,252.69 = 161,698.30/x
  3. Step 3: Cross multiply
    290,762.64x = 401,252.69 × 161,698.30
  4. Step 4: Simplify right side
    290,762.64x = 64,881,877,463.51
  5. Step 5: Solve for x
    x = 64,881,877,463.51/290,762.64
  6. Step 6: Final answer
    x = 223,143.79

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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.