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Finding the Fourth Proportional to 340,522.25, 510,605.93 and 127,114.65

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Solution

The fourth proportional to 340,522.25, 510,605.93 and 127,114.65 is: 190,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,522.25 : 510,605.93 = 127,114.65 : x
  2. Step 2: Convert to fraction form
    340,522.25/510,605.93 = 127,114.65/x
  3. Step 3: Cross multiply
    340,522.25x = 510,605.93 × 127,114.65
  4. Step 4: Simplify right side
    340,522.25x = 64,905,493,409.98
  5. Step 5: Solve for x
    x = 64,905,493,409.98/340,522.25
  6. Step 6: Final answer
    x = 190,605.73

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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.