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Finding the Fourth Proportional to 257,258.66, 354,703.28 and 189,068

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Solution

The fourth proportional to 257,258.66, 354,703.28 and 189,068 is: 260,683.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,258.66 : 354,703.28 = 189,068 : x
  2. Step 2: Convert to fraction form
    257,258.66/354,703.28 = 189,068/x
  3. Step 3: Cross multiply
    257,258.66x = 354,703.28 × 189,068
  4. Step 4: Simplify right side
    257,258.66x = 67,063,039,743.04
  5. Step 5: Solve for x
    x = 67,063,039,743.04/257,258.66
  6. Step 6: Final answer
    x = 260,683.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.