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Finding the Fourth Proportional to 294,419.40, 441,629.10 and 72,803.40

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Solution

The fourth proportional to 294,419.40, 441,629.10 and 72,803.40 is: 109,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,419.40 : 441,629.10 = 72,803.40 : x
  2. Step 2: Convert to fraction form
    294,419.40/441,629.10 = 72,803.40/x
  3. Step 3: Cross multiply
    294,419.40x = 441,629.10 × 72,803.40
  4. Step 4: Simplify right side
    294,419.40x = 32,152,100,018.94
  5. Step 5: Solve for x
    x = 32,152,100,018.94/294,419.40
  6. Step 6: Final answer
    x = 109,205.10

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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.