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Finding the Fourth Proportional to 909,800, 1,364,700 and 318,824

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Solution

The fourth proportional to 909,800, 1,364,700 and 318,824 is: 478,236

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,800 : 1,364,700 = 318,824 : x
  2. Step 2: Convert to fraction form
    909,800/1,364,700 = 318,824/x
  3. Step 3: Cross multiply
    909,800x = 1,364,700 × 318,824
  4. Step 4: Simplify right side
    909,800x = 435,099,112,800
  5. Step 5: Solve for x
    x = 435,099,112,800/909,800
  6. Step 6: Final answer
    x = 478,236

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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.