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Finding the Fourth Proportional to 340,519, 510,815.40 and 127,388.56

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Solution

The fourth proportional to 340,519, 510,815.40 and 127,388.56 is: 191,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,519 : 510,815.40 = 127,388.56 : x
  2. Step 2: Convert to fraction form
    340,519/510,815.40 = 127,388.56/x
  3. Step 3: Cross multiply
    340,519x = 510,815.40 × 127,388.56
  4. Step 4: Simplify right side
    340,519x = 65,072,038,231.82
  5. Step 5: Solve for x
    x = 65,072,038,231.82/340,519
  6. Step 6: Final answer
    x = 191,096.64

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1.5x scale

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.