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Finding the Fourth Proportional to 307,968, 424,995.84 and 166,656

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Solution

The fourth proportional to 307,968, 424,995.84 and 166,656 is: 229,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,968 : 424,995.84 = 166,656 : x
  2. Step 2: Convert to fraction form
    307,968/424,995.84 = 166,656/x
  3. Step 3: Cross multiply
    307,968x = 424,995.84 × 166,656
  4. Step 4: Simplify right side
    307,968x = 70,828,106,711.04
  5. Step 5: Solve for x
    x = 70,828,106,711.04/307,968
  6. Step 6: Final answer
    x = 229,985.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.