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Finding the Fourth Proportional to 288,860.32, 433,361.40 and 99,323.60

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Solution

The fourth proportional to 288,860.32, 433,361.40 and 99,323.60 is: 149,009.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,860.32 : 433,361.40 = 99,323.60 : x
  2. Step 2: Convert to fraction form
    288,860.32/433,361.40 = 99,323.60/x
  3. Step 3: Cross multiply
    288,860.32x = 433,361.40 × 99,323.60
  4. Step 4: Simplify right side
    288,860.32x = 43,043,014,349.04
  5. Step 5: Solve for x
    x = 43,043,014,349.04/288,860.32
  6. Step 6: Final answer
    x = 149,009.79

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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.