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Finding the Fourth Proportional to 697,578, 1,046,376.84 and 198,942

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Solution

The fourth proportional to 697,578, 1,046,376.84 and 198,942 is: 298,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,578 : 1,046,376.84 = 198,942 : x
  2. Step 2: Convert to fraction form
    697,578/1,046,376.84 = 198,942/x
  3. Step 3: Cross multiply
    697,578x = 1,046,376.84 × 198,942
  4. Step 4: Simplify right side
    697,578x = 208,168,301,303.28
  5. Step 5: Solve for x
    x = 208,168,301,303.28/697,578
  6. Step 6: Final answer
    x = 298,415.81

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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.