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Finding the Fourth Proportional to 288,803.40, 432,629.10 and 254,166.60

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Solution

The fourth proportional to 288,803.40, 432,629.10 and 254,166.60 is: 380,742.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,803.40 : 432,629.10 = 254,166.60 : x
  2. Step 2: Convert to fraction form
    288,803.40/432,629.10 = 254,166.60/x
  3. Step 3: Cross multiply
    288,803.40x = 432,629.10 × 254,166.60
  4. Step 4: Simplify right side
    288,803.40x = 109,959,867,408.06
  5. Step 5: Solve for x
    x = 109,959,867,408.06/288,803.40
  6. Step 6: Final answer
    x = 380,742.98

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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.