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Finding the Fourth Proportional to 286,143.60, 428,848.20 and 159,783.60

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Solution

The fourth proportional to 286,143.60, 428,848.20 and 159,783.60 is: 239,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,143.60 : 428,848.20 = 159,783.60 : x
  2. Step 2: Convert to fraction form
    286,143.60/428,848.20 = 159,783.60/x
  3. Step 3: Cross multiply
    286,143.60x = 428,848.20 × 159,783.60
  4. Step 4: Simplify right side
    286,143.60x = 68,522,909,249.52
  5. Step 5: Solve for x
    x = 68,522,909,249.52/286,143.60
  6. Step 6: Final answer
    x = 239,470.35

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1.5x scale

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.