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Finding the Fourth Proportional to 294,254.40, 440,344.80 and 205,089.60

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Solution

The fourth proportional to 294,254.40, 440,344.80 and 205,089.60 is: 306,911.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,254.40 : 440,344.80 = 205,089.60 : x
  2. Step 2: Convert to fraction form
    294,254.40/440,344.80 = 205,089.60/x
  3. Step 3: Cross multiply
    294,254.40x = 440,344.80 × 205,089.60
  4. Step 4: Simplify right side
    294,254.40x = 90,310,138,894.08
  5. Step 5: Solve for x
    x = 90,310,138,894.08/294,254.40
  6. Step 6: Final answer
    x = 306,911.77

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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.