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Finding the Fourth Proportional to 405,120.60, 607,680.90 and 138,845.40

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Solution

The fourth proportional to 405,120.60, 607,680.90 and 138,845.40 is: 208,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,120.60 : 607,680.90 = 138,845.40 : x
  2. Step 2: Convert to fraction form
    405,120.60/607,680.90 = 138,845.40/x
  3. Step 3: Cross multiply
    405,120.60x = 607,680.90 × 138,845.40
  4. Step 4: Simplify right side
    405,120.60x = 84,373,697,632.86
  5. Step 5: Solve for x
    x = 84,373,697,632.86/405,120.60
  6. Step 6: Final answer
    x = 208,268.10

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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.