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Finding the Fourth Proportional to 329,852.16, 455,244.80 and 209,004.64

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Solution

The fourth proportional to 329,852.16, 455,244.80 and 209,004.64 is: 288,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,852.16 : 455,244.80 = 209,004.64 : x
  2. Step 2: Convert to fraction form
    329,852.16/455,244.80 = 209,004.64/x
  3. Step 3: Cross multiply
    329,852.16x = 455,244.80 × 209,004.64
  4. Step 4: Simplify right side
    329,852.16x = 95,148,275,535.87
  5. Step 5: Solve for x
    x = 95,148,275,535.87/329,852.16
  6. Step 6: Final answer
    x = 288,457.34

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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.