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Finding the Fourth Proportional to 292,538, 438,807 and 70,922

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Solution

The fourth proportional to 292,538, 438,807 and 70,922 is: 106,383

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,538 : 438,807 = 70,922 : x
  2. Step 2: Convert to fraction form
    292,538/438,807 = 70,922/x
  3. Step 3: Cross multiply
    292,538x = 438,807 × 70,922
  4. Step 4: Simplify right side
    292,538x = 31,121,070,054
  5. Step 5: Solve for x
    x = 31,121,070,054/292,538
  6. Step 6: Final answer
    x = 106,383

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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.