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Finding the Fourth Proportional to 470,197.80, 705,599.10 and 259,986.60

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Solution

The fourth proportional to 470,197.80, 705,599.10 and 259,986.60 is: 390,147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,197.80 : 705,599.10 = 259,986.60 : x
  2. Step 2: Convert to fraction form
    470,197.80/705,599.10 = 259,986.60/x
  3. Step 3: Cross multiply
    470,197.80x = 705,599.10 × 259,986.60
  4. Step 4: Simplify right side
    470,197.80x = 183,446,310,972.06
  5. Step 5: Solve for x
    x = 183,446,310,972.06/470,197.80
  6. Step 6: Final answer
    x = 390,147.11

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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.