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Finding the Fourth Proportional to 310,295.36, 428,072.64 and 195,504.32

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Solution

The fourth proportional to 310,295.36, 428,072.64 and 195,504.32 is: 269,710.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,295.36 : 428,072.64 = 195,504.32 : x
  2. Step 2: Convert to fraction form
    310,295.36/428,072.64 = 195,504.32/x
  3. Step 3: Cross multiply
    310,295.36x = 428,072.64 × 195,504.32
  4. Step 4: Simplify right side
    310,295.36x = 83,690,050,393.80
  5. Step 5: Solve for x
    x = 83,690,050,393.80/310,295.36
  6. Step 6: Final answer
    x = 269,710.93

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1.5x scale

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.