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Finding the Fourth Proportional to 369,910.08, 510,477.66 and 208,771.92

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Solution

The fourth proportional to 369,910.08, 510,477.66 and 208,771.92 is: 288,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,910.08 : 510,477.66 = 208,771.92 : x
  2. Step 2: Convert to fraction form
    369,910.08/510,477.66 = 208,771.92/x
  3. Step 3: Cross multiply
    369,910.08x = 510,477.66 × 208,771.92
  4. Step 4: Simplify right side
    369,910.08x = 106,573,401,195.31
  5. Step 5: Solve for x
    x = 106,573,401,195.31/369,910.08
  6. Step 6: Final answer
    x = 288,106.24

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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.