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Finding the Fourth Proportional to 309,681.70, 464,568.72 and 109,985.31

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Solution

The fourth proportional to 309,681.70, 464,568.72 and 109,985.31 is: 164,994.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,681.70 : 464,568.72 = 109,985.31 : x
  2. Step 2: Convert to fraction form
    309,681.70/464,568.72 = 109,985.31/x
  3. Step 3: Cross multiply
    309,681.70x = 464,568.72 × 109,985.31
  4. Step 4: Simplify right side
    309,681.70x = 51,095,734,273.06
  5. Step 5: Solve for x
    x = 51,095,734,273.06/309,681.70
  6. Step 6: Final answer
    x = 164,994.36

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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.