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Finding the Fourth Proportional to 385,674.36, 578,044.98 and 198,583.80

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Solution

The fourth proportional to 385,674.36, 578,044.98 and 198,583.80 is: 297,635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,674.36 : 578,044.98 = 198,583.80 : x
  2. Step 2: Convert to fraction form
    385,674.36/578,044.98 = 198,583.80/x
  3. Step 3: Cross multiply
    385,674.36x = 578,044.98 × 198,583.80
  4. Step 4: Simplify right side
    385,674.36x = 114,790,368,699.32
  5. Step 5: Solve for x
    x = 114,790,368,699.32/385,674.36
  6. Step 6: Final answer
    x = 297,635.47

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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.