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Finding the Fourth Proportional to 356,856, 492,461.28 and 197,880

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Solution

The fourth proportional to 356,856, 492,461.28 and 197,880 is: 273,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,856 : 492,461.28 = 197,880 : x
  2. Step 2: Convert to fraction form
    356,856/492,461.28 = 197,880/x
  3. Step 3: Cross multiply
    356,856x = 492,461.28 × 197,880
  4. Step 4: Simplify right side
    356,856x = 97,448,238,086.40
  5. Step 5: Solve for x
    x = 97,448,238,086.40/356,856
  6. Step 6: Final answer
    x = 273,074.40

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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.