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Finding the Fourth Proportional to 286,647.60, 430,144.20 and 99,790.32

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Solution

The fourth proportional to 286,647.60, 430,144.20 and 99,790.32 is: 149,745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,647.60 : 430,144.20 = 99,790.32 : x
  2. Step 2: Convert to fraction form
    286,647.60/430,144.20 = 99,790.32/x
  3. Step 3: Cross multiply
    286,647.60x = 430,144.20 × 99,790.32
  4. Step 4: Simplify right side
    286,647.60x = 42,924,227,364.14
  5. Step 5: Solve for x
    x = 42,924,227,364.14/286,647.60
  6. Step 6: Final answer
    x = 149,745.64

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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.