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Finding the Fourth Proportional to 411,989.80, 618,384.24 and 198,907.96

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Solution

The fourth proportional to 411,989.80, 618,384.24 and 198,907.96 is: 298,554.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,989.80 : 618,384.24 = 198,907.96 : x
  2. Step 2: Convert to fraction form
    411,989.80/618,384.24 = 198,907.96/x
  3. Step 3: Cross multiply
    411,989.80x = 618,384.24 × 198,907.96
  4. Step 4: Simplify right side
    411,989.80x = 123,001,547,674.55
  5. Step 5: Solve for x
    x = 123,001,547,674.55/411,989.80
  6. Step 6: Final answer
    x = 298,554.84

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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.