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Finding the Fourth Proportional to 401,804.88, 602,904 and 161,908.80

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Solution

The fourth proportional to 401,804.88, 602,904 and 161,908.80 is: 242,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,804.88 : 602,904 = 161,908.80 : x
  2. Step 2: Convert to fraction form
    401,804.88/602,904 = 161,908.80/x
  3. Step 3: Cross multiply
    401,804.88x = 602,904 × 161,908.80
  4. Step 4: Simplify right side
    401,804.88x = 97,615,463,155.20
  5. Step 5: Solve for x
    x = 97,615,463,155.20/401,804.88
  6. Step 6: Final answer
    x = 242,942.45

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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.