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Finding the Fourth Proportional to 292,652.16, 438,978.40 and 82,290.10

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Solution

The fourth proportional to 292,652.16, 438,978.40 and 82,290.10 is: 123,435.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,652.16 : 438,978.40 = 82,290.10 : x
  2. Step 2: Convert to fraction form
    292,652.16/438,978.40 = 82,290.10/x
  3. Step 3: Cross multiply
    292,652.16x = 438,978.40 × 82,290.10
  4. Step 4: Simplify right side
    292,652.16x = 36,123,576,433.84
  5. Step 5: Solve for x
    x = 36,123,576,433.84/292,652.16
  6. Step 6: Final answer
    x = 123,435.19

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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.