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Finding the Fourth Proportional to 292,440, 438,662.40 and 70,824

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Solution

The fourth proportional to 292,440, 438,662.40 and 70,824 is: 106,236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,440 : 438,662.40 = 70,824 : x
  2. Step 2: Convert to fraction form
    292,440/438,662.40 = 70,824/x
  3. Step 3: Cross multiply
    292,440x = 438,662.40 × 70,824
  4. Step 4: Simplify right side
    292,440x = 31,067,825,817.60
  5. Step 5: Solve for x
    x = 31,067,825,817.60/292,440
  6. Step 6: Final answer
    x = 106,236.58

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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.