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Finding the Fourth Proportional to 309,952.44, 464,335.74 and 209,619.72

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Solution

The fourth proportional to 309,952.44, 464,335.74 and 209,619.72 is: 314,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,952.44 : 464,335.74 = 209,619.72 : x
  2. Step 2: Convert to fraction form
    309,952.44/464,335.74 = 209,619.72/x
  3. Step 3: Cross multiply
    309,952.44x = 464,335.74 × 209,619.72
  4. Step 4: Simplify right side
    309,952.44x = 97,333,927,804.79
  5. Step 5: Solve for x
    x = 97,333,927,804.79/309,952.44
  6. Step 6: Final answer
    x = 314,028.59

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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.