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Finding the Fourth Proportional to 405,228.76, 607,299.80 and 315,379.96

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Solution

The fourth proportional to 405,228.76, 607,299.80 and 315,379.96 is: 472,647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,228.76 : 607,299.80 = 315,379.96 : x
  2. Step 2: Convert to fraction form
    405,228.76/607,299.80 = 315,379.96/x
  3. Step 3: Cross multiply
    405,228.76x = 607,299.80 × 315,379.96
  4. Step 4: Simplify right side
    405,228.76x = 191,530,186,632.01
  5. Step 5: Solve for x
    x = 191,530,186,632.01/405,228.76
  6. Step 6: Final answer
    x = 472,647.08

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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.