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Finding the Fourth Proportional to 377,303.30, 565,788.85 and 199,768.78

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Solution

The fourth proportional to 377,303.30, 565,788.85 and 199,768.78 is: 299,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,303.30 : 565,788.85 = 199,768.78 : x
  2. Step 2: Convert to fraction form
    377,303.30/565,788.85 = 199,768.78/x
  3. Step 3: Cross multiply
    377,303.30x = 565,788.85 × 199,768.78
  4. Step 4: Simplify right side
    377,303.30x = 113,026,946,388.21
  5. Step 5: Solve for x
    x = 113,026,946,388.21/377,303.30
  6. Step 6: Final answer
    x = 299,565.22

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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.