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Finding the Fourth Proportional to 518,834.63, 778,002.83 and 294,134.73

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Solution

The fourth proportional to 518,834.63, 778,002.83 and 294,134.73 is: 441,060.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,834.63 : 778,002.83 = 294,134.73 : x
  2. Step 2: Convert to fraction form
    518,834.63/778,002.83 = 294,134.73/x
  3. Step 3: Cross multiply
    518,834.63x = 778,002.83 × 294,134.73
  4. Step 4: Simplify right side
    518,834.63x = 228,837,652,341.29
  5. Step 5: Solve for x
    x = 228,837,652,341.29/518,834.63
  6. Step 6: Final answer
    x = 441,060.87

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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.