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Finding the Fourth Proportional to 282,078.60, 423,809.10 and 212,094.60

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Solution

The fourth proportional to 282,078.60, 423,809.10 and 212,094.60 is: 318,661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,078.60 : 423,809.10 = 212,094.60 : x
  2. Step 2: Convert to fraction form
    282,078.60/423,809.10 = 212,094.60/x
  3. Step 3: Cross multiply
    282,078.60x = 423,809.10 × 212,094.60
  4. Step 4: Simplify right side
    282,078.60x = 89,887,621,540.86
  5. Step 5: Solve for x
    x = 89,887,621,540.86/282,078.60
  6. Step 6: Final answer
    x = 318,661.61

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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.