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Finding the Fourth Proportional to 310,300.86, 428,080.23 and 195,509.82

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Solution

The fourth proportional to 310,300.86, 428,080.23 and 195,509.82 is: 269,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,300.86 : 428,080.23 = 195,509.82 : x
  2. Step 2: Convert to fraction form
    310,300.86/428,080.23 = 195,509.82/x
  3. Step 3: Cross multiply
    310,300.86x = 428,080.23 × 195,509.82
  4. Step 4: Simplify right side
    310,300.86x = 83,693,888,712.86
  5. Step 5: Solve for x
    x = 83,693,888,712.86/310,300.86
  6. Step 6: Final answer
    x = 269,718.52

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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.