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Finding the Fourth Proportional to 335,883.75, 502,642.35 and 209,583.45

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Solution

The fourth proportional to 335,883.75, 502,642.35 and 209,583.45 is: 313,636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,883.75 : 502,642.35 = 209,583.45 : x
  2. Step 2: Convert to fraction form
    335,883.75/502,642.35 = 209,583.45/x
  3. Step 3: Cross multiply
    335,883.75x = 502,642.35 × 209,583.45
  4. Step 4: Simplify right side
    335,883.75x = 105,345,517,829.11
  5. Step 5: Solve for x
    x = 105,345,517,829.11/335,883.75
  6. Step 6: Final answer
    x = 313,636.84

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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.