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Finding the Fourth Proportional to 518,234.76, 776,762.46 and 315,383.36

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Solution

The fourth proportional to 518,234.76, 776,762.46 and 315,383.36 is: 472,716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,234.76 : 776,762.46 = 315,383.36 : x
  2. Step 2: Convert to fraction form
    518,234.76/776,762.46 = 315,383.36/x
  3. Step 3: Cross multiply
    518,234.76x = 776,762.46 × 315,383.36
  4. Step 4: Simplify right side
    518,234.76x = 244,977,950,672.85
  5. Step 5: Solve for x
    x = 244,977,950,672.85/518,234.76
  6. Step 6: Final answer
    x = 472,716.17

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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.