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Finding the Fourth Proportional to 405,967.80, 608,433.30 and 312,007.80

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Solution

The fourth proportional to 405,967.80, 608,433.30 and 312,007.80 is: 467,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,967.80 : 608,433.30 = 312,007.80 : x
  2. Step 2: Convert to fraction form
    405,967.80/608,433.30 = 312,007.80/x
  3. Step 3: Cross multiply
    405,967.80x = 608,433.30 × 312,007.80
  4. Step 4: Simplify right side
    405,967.80x = 189,835,935,379.74
  5. Step 5: Solve for x
    x = 189,835,935,379.74/405,967.80
  6. Step 6: Final answer
    x = 467,613.28

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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.