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Finding the Fourth Proportional to 340,770.64, 470,266.62 and 187,814.40

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Solution

The fourth proportional to 340,770.64, 470,266.62 and 187,814.40 is: 259,185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,770.64 : 470,266.62 = 187,814.40 : x
  2. Step 2: Convert to fraction form
    340,770.64/470,266.62 = 187,814.40/x
  3. Step 3: Cross multiply
    340,770.64x = 470,266.62 × 187,814.40
  4. Step 4: Simplify right side
    340,770.64x = 88,322,843,075.33
  5. Step 5: Solve for x
    x = 88,322,843,075.33/340,770.64
  6. Step 6: Final answer
    x = 259,185.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.