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Finding the Fourth Proportional to 697,471, 1,046,216.22 and 198,835

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Solution

The fourth proportional to 697,471, 1,046,216.22 and 198,835 is: 298,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,471 : 1,046,216.22 = 198,835 : x
  2. Step 2: Convert to fraction form
    697,471/1,046,216.22 = 198,835/x
  3. Step 3: Cross multiply
    697,471x = 1,046,216.22 × 198,835
  4. Step 4: Simplify right side
    697,471x = 208,024,402,103.70
  5. Step 5: Solve for x
    x = 208,024,402,103.70/697,471
  6. Step 6: Final answer
    x = 298,255.27

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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.