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Finding the Fourth Proportional to 290,501.93, 400,470.15 and 203,015.41

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Solution

The fourth proportional to 290,501.93, 400,470.15 and 203,015.41 is: 279,866.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,501.93 : 400,470.15 = 203,015.41 : x
  2. Step 2: Convert to fraction form
    290,501.93/400,470.15 = 203,015.41/x
  3. Step 3: Cross multiply
    290,501.93x = 400,470.15 × 203,015.41
  4. Step 4: Simplify right side
    290,501.93x = 81,301,612,696.19
  5. Step 5: Solve for x
    x = 81,301,612,696.19/290,501.93
  6. Step 6: Final answer
    x = 279,866.00

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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.