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Finding the Fourth Proportional to 292,258.40, 438,431.40 and 123,778.40

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Solution

The fourth proportional to 292,258.40, 438,431.40 and 123,778.40 is: 185,686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,258.40 : 438,431.40 = 123,778.40 : x
  2. Step 2: Convert to fraction form
    292,258.40/438,431.40 = 123,778.40/x
  3. Step 3: Cross multiply
    292,258.40x = 438,431.40 × 123,778.40
  4. Step 4: Simplify right side
    292,258.40x = 54,268,337,201.76
  5. Step 5: Solve for x
    x = 54,268,337,201.76/292,258.40
  6. Step 6: Final answer
    x = 185,686.15

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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.