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Finding the Fourth Proportional to 292,567.47, 438,867.60 and 82,189

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Solution

The fourth proportional to 292,567.47, 438,867.60 and 82,189 is: 123,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,567.47 : 438,867.60 = 82,189 : x
  2. Step 2: Convert to fraction form
    292,567.47/438,867.60 = 82,189/x
  3. Step 3: Cross multiply
    292,567.47x = 438,867.60 × 82,189
  4. Step 4: Simplify right side
    292,567.47x = 36,070,089,176.40
  5. Step 5: Solve for x
    x = 36,070,089,176.40/292,567.47
  6. Step 6: Final answer
    x = 123,288.11

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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.