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Finding the Fourth Proportional to 405,880.36, 609,030.54 and 294,480.06

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Solution

The fourth proportional to 405,880.36, 609,030.54 and 294,480.06 is: 441,872.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,880.36 : 609,030.54 = 294,480.06 : x
  2. Step 2: Convert to fraction form
    405,880.36/609,030.54 = 294,480.06/x
  3. Step 3: Cross multiply
    405,880.36x = 609,030.54 × 294,480.06
  4. Step 4: Simplify right side
    405,880.36x = 179,347,349,961.03
  5. Step 5: Solve for x
    x = 179,347,349,961.03/405,880.36
  6. Step 6: Final answer
    x = 441,872.45

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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.