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Finding the Fourth Proportional to 547,966, 756,197.52 and 306,258.76

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Solution

The fourth proportional to 547,966, 756,197.52 and 306,258.76 is: 422,639.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,966 : 756,197.52 = 306,258.76 : x
  2. Step 2: Convert to fraction form
    547,966/756,197.52 = 306,258.76/x
  3. Step 3: Cross multiply
    547,966x = 756,197.52 × 306,258.76
  4. Step 4: Simplify right side
    547,966x = 231,592,114,790.28
  5. Step 5: Solve for x
    x = 231,592,114,790.28/547,966
  6. Step 6: Final answer
    x = 422,639.57

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1.5x scale

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.