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Finding the Fourth Proportional to 292,652.07, 438,978.28 and 82,290

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Solution

The fourth proportional to 292,652.07, 438,978.28 and 82,290 is: 123,435.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,652.07 : 438,978.28 = 82,290 : x
  2. Step 2: Convert to fraction form
    292,652.07/438,978.28 = 82,290/x
  3. Step 3: Cross multiply
    292,652.07x = 438,978.28 × 82,290
  4. Step 4: Simplify right side
    292,652.07x = 36,123,522,661.20
  5. Step 5: Solve for x
    x = 36,123,522,661.20/292,652.07
  6. Step 6: Final answer
    x = 123,435.05

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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.