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Finding the Fourth Proportional to 329,751.56, 455,106.06 and 208,904.06

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Solution

The fourth proportional to 329,751.56, 455,106.06 and 208,904.06 is: 288,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,751.56 : 455,106.06 = 208,904.06 : x
  2. Step 2: Convert to fraction form
    329,751.56/455,106.06 = 208,904.06/x
  3. Step 3: Cross multiply
    329,751.56x = 455,106.06 × 208,904.06
  4. Step 4: Simplify right side
    329,751.56x = 95,073,501,389.07
  5. Step 5: Solve for x
    x = 95,073,501,389.07/329,751.56
  6. Step 6: Final answer
    x = 288,318.58

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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.