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Finding the Fourth Proportional to 405,307.52, 607,469.69 and 297,693.64

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Solution

The fourth proportional to 405,307.52, 607,469.69 and 297,693.64 is: 446,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,307.52 : 607,469.69 = 297,693.64 : x
  2. Step 2: Convert to fraction form
    405,307.52/607,469.69 = 297,693.64/x
  3. Step 3: Cross multiply
    405,307.52x = 607,469.69 × 297,693.64
  4. Step 4: Simplify right side
    405,307.52x = 180,839,863,205.77
  5. Step 5: Solve for x
    x = 180,839,863,205.77/405,307.52
  6. Step 6: Final answer
    x = 446,179.39

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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.