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Finding the Fourth Proportional to 329,908.89, 455,322.93 and 209,061.19

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Solution

The fourth proportional to 329,908.89, 455,322.93 and 209,061.19 is: 288,535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,908.89 : 455,322.93 = 209,061.19 : x
  2. Step 2: Convert to fraction form
    329,908.89/455,322.93 = 209,061.19/x
  3. Step 3: Cross multiply
    329,908.89x = 455,322.93 × 209,061.19
  4. Step 4: Simplify right side
    329,908.89x = 95,190,353,580.09
  5. Step 5: Solve for x
    x = 95,190,353,580.09/329,908.89
  6. Step 6: Final answer
    x = 288,535.28

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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.