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Finding the Fourth Proportional to 286,261.60, 429,025.20 and 159,901.60

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Solution

The fourth proportional to 286,261.60, 429,025.20 and 159,901.60 is: 239,647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,261.60 : 429,025.20 = 159,901.60 : x
  2. Step 2: Convert to fraction form
    286,261.60/429,025.20 = 159,901.60/x
  3. Step 3: Cross multiply
    286,261.60x = 429,025.20 × 159,901.60
  4. Step 4: Simplify right side
    286,261.60x = 68,601,815,920.32
  5. Step 5: Solve for x
    x = 68,601,815,920.32/286,261.60
  6. Step 6: Final answer
    x = 239,647.29

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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.