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Finding the Fourth Proportional to 351,406.84, 484,910.20 and 208,143.76

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Solution

The fourth proportional to 351,406.84, 484,910.20 and 208,143.76 is: 287,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,406.84 : 484,910.20 = 208,143.76 : x
  2. Step 2: Convert to fraction form
    351,406.84/484,910.20 = 208,143.76/x
  3. Step 3: Cross multiply
    351,406.84x = 484,910.20 × 208,143.76
  4. Step 4: Simplify right side
    351,406.84x = 100,931,032,290.35
  5. Step 5: Solve for x
    x = 100,931,032,290.35/351,406.84
  6. Step 6: Final answer
    x = 287,219.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.