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Finding the Fourth Proportional to 405,575.86, 608,405.10 and 139,301.86

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Solution

The fourth proportional to 405,575.86, 608,405.10 and 139,301.86 is: 208,966.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,575.86 : 608,405.10 = 139,301.86 : x
  2. Step 2: Convert to fraction form
    405,575.86/608,405.10 = 139,301.86/x
  3. Step 3: Cross multiply
    405,575.86x = 608,405.10 × 139,301.86
  4. Step 4: Simplify right side
    405,575.86x = 84,751,962,063.49
  5. Step 5: Solve for x
    x = 84,751,962,063.49/405,575.86
  6. Step 6: Final answer
    x = 208,966.98

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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.