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Finding the Fourth Proportional to 335,646, 503,470.35 and 135,970.16

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Solution

The fourth proportional to 335,646, 503,470.35 and 135,970.16 is: 203,955.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,646 : 503,470.35 = 135,970.16 : x
  2. Step 2: Convert to fraction form
    335,646/503,470.35 = 135,970.16/x
  3. Step 3: Cross multiply
    335,646x = 503,470.35 × 135,970.16
  4. Step 4: Simplify right side
    335,646x = 68,456,941,527.40
  5. Step 5: Solve for x
    x = 68,456,941,527.40/335,646
  6. Step 6: Final answer
    x = 203,955.78

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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.