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Finding the Fourth Proportional to 294,002.40, 439,837.20 and 254,992.80

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Solution

The fourth proportional to 294,002.40, 439,837.20 and 254,992.80 is: 381,477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,002.40 : 439,837.20 = 254,992.80 : x
  2. Step 2: Convert to fraction form
    294,002.40/439,837.20 = 254,992.80/x
  3. Step 3: Cross multiply
    294,002.40x = 439,837.20 × 254,992.80
  4. Step 4: Simplify right side
    294,002.40x = 112,155,319,172.16
  5. Step 5: Solve for x
    x = 112,155,319,172.16/294,002.40
  6. Step 6: Final answer
    x = 381,477.56

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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.