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Finding the Fourth Proportional to 280,258, 386,756.04 and 179,656

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Solution

The fourth proportional to 280,258, 386,756.04 and 179,656 is: 247,925.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,258 : 386,756.04 = 179,656 : x
  2. Step 2: Convert to fraction form
    280,258/386,756.04 = 179,656/x
  3. Step 3: Cross multiply
    280,258x = 386,756.04 × 179,656
  4. Step 4: Simplify right side
    280,258x = 69,483,043,122.24
  5. Step 5: Solve for x
    x = 69,483,043,122.24/280,258
  6. Step 6: Final answer
    x = 247,925.28

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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.