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Finding the Fourth Proportional to 340,417.56, 510,271.38 and 190,437.96

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Solution

The fourth proportional to 340,417.56, 510,271.38 and 190,437.96 is: 285,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,417.56 : 510,271.38 = 190,437.96 : x
  2. Step 2: Convert to fraction form
    340,417.56/510,271.38 = 190,437.96/x
  3. Step 3: Cross multiply
    340,417.56x = 510,271.38 × 190,437.96
  4. Step 4: Simplify right side
    340,417.56x = 97,175,040,653.58
  5. Step 5: Solve for x
    x = 97,175,040,653.58/340,417.56
  6. Step 6: Final answer
    x = 285,458.37

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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.