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Finding the Fourth Proportional to 318,838.44, 477,929.60 and 141,429

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Solution

The fourth proportional to 318,838.44, 477,929.60 and 141,429 is: 211,997.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,838.44 : 477,929.60 = 141,429 : x
  2. Step 2: Convert to fraction form
    318,838.44/477,929.60 = 141,429/x
  3. Step 3: Cross multiply
    318,838.44x = 477,929.60 × 141,429
  4. Step 4: Simplify right side
    318,838.44x = 67,593,105,398.40
  5. Step 5: Solve for x
    x = 67,593,105,398.40/318,838.44
  6. Step 6: Final answer
    x = 211,997.98

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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.