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Finding the Fourth Proportional to 405,577.86, 608,408.10 and 139,303.86

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Solution

The fourth proportional to 405,577.86, 608,408.10 and 139,303.86 is: 208,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,577.86 : 608,408.10 = 139,303.86 : x
  2. Step 2: Convert to fraction form
    405,577.86/608,408.10 = 139,303.86/x
  3. Step 3: Cross multiply
    405,577.86x = 608,408.10 × 139,303.86
  4. Step 4: Simplify right side
    405,577.86x = 84,753,596,785.27
  5. Step 5: Solve for x
    x = 84,753,596,785.27/405,577.86
  6. Step 6: Final answer
    x = 208,969.98

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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.