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Finding the Fourth Proportional to 294,428.40, 441,642.60 and 72,812.40

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Solution

The fourth proportional to 294,428.40, 441,642.60 and 72,812.40 is: 109,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,428.40 : 441,642.60 = 72,812.40 : x
  2. Step 2: Convert to fraction form
    294,428.40/441,642.60 = 72,812.40/x
  3. Step 3: Cross multiply
    294,428.40x = 441,642.60 × 72,812.40
  4. Step 4: Simplify right side
    294,428.40x = 32,157,057,648.24
  5. Step 5: Solve for x
    x = 32,157,057,648.24/294,428.40
  6. Step 6: Final answer
    x = 109,218.60

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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.