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Finding the Fourth Proportional to 405,445.84, 608,201 and 121,115.52

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Solution

The fourth proportional to 405,445.84, 608,201 and 121,115.52 is: 181,682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,445.84 : 608,201 = 121,115.52 : x
  2. Step 2: Convert to fraction form
    405,445.84/608,201 = 121,115.52/x
  3. Step 3: Cross multiply
    405,445.84x = 608,201 × 121,115.52
  4. Step 4: Simplify right side
    405,445.84x = 73,662,580,379.52
  5. Step 5: Solve for x
    x = 73,662,580,379.52/405,445.84
  6. Step 6: Final answer
    x = 181,682.91

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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.