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Finding the Fourth Proportional to 340,051.80, 509,742.90 and 190,363.80

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Solution

The fourth proportional to 340,051.80, 509,742.90 and 190,363.80 is: 285,358.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,051.80 : 509,742.90 = 190,363.80 : x
  2. Step 2: Convert to fraction form
    340,051.80/509,742.90 = 190,363.80/x
  3. Step 3: Cross multiply
    340,051.80x = 509,742.90 × 190,363.80
  4. Step 4: Simplify right side
    340,051.80x = 97,036,595,467.02
  5. Step 5: Solve for x
    x = 97,036,595,467.02/340,051.80
  6. Step 6: Final answer
    x = 285,358.28

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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.