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Finding the Fourth Proportional to 286,219.30, 429,525.80 and 99,230.80

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Solution

The fourth proportional to 286,219.30, 429,525.80 and 99,230.80 is: 148,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,219.30 : 429,525.80 = 99,230.80 : x
  2. Step 2: Convert to fraction form
    286,219.30/429,525.80 = 99,230.80/x
  3. Step 3: Cross multiply
    286,219.30x = 429,525.80 × 99,230.80
  4. Step 4: Simplify right side
    286,219.30x = 42,622,188,754.64
  5. Step 5: Solve for x
    x = 42,622,188,754.64/286,219.30
  6. Step 6: Final answer
    x = 148,914.45

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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.