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Finding the Fourth Proportional to 405,144.37, 607,746.12 and 138,902.64

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Solution

The fourth proportional to 405,144.37, 607,746.12 and 138,902.64 is: 208,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,144.37 : 607,746.12 = 138,902.64 : x
  2. Step 2: Convert to fraction form
    405,144.37/607,746.12 = 138,902.64/x
  3. Step 3: Cross multiply
    405,144.37x = 607,746.12 × 138,902.64
  4. Step 4: Simplify right side
    405,144.37x = 84,417,540,517.76
  5. Step 5: Solve for x
    x = 84,417,540,517.76/405,144.37
  6. Step 6: Final answer
    x = 208,364.10

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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.