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Finding the Fourth Proportional to 401,442.36, 602,163.82 and 101,945.40

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Solution

The fourth proportional to 401,442.36, 602,163.82 and 101,945.40 is: 152,918.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,442.36 : 602,163.82 = 101,945.40 : x
  2. Step 2: Convert to fraction form
    401,442.36/602,163.82 = 101,945.40/x
  3. Step 3: Cross multiply
    401,442.36x = 602,163.82 × 101,945.40
  4. Step 4: Simplify right side
    401,442.36x = 61,387,831,495.43
  5. Step 5: Solve for x
    x = 61,387,831,495.43/401,442.36
  6. Step 6: Final answer
    x = 152,918.17

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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.