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Finding the Fourth Proportional to 329,051.52, 492,828.30 and 257,528.16

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Solution

The fourth proportional to 329,051.52, 492,828.30 and 257,528.16 is: 385,706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,051.52 : 492,828.30 = 257,528.16 : x
  2. Step 2: Convert to fraction form
    329,051.52/492,828.30 = 257,528.16/x
  3. Step 3: Cross multiply
    329,051.52x = 492,828.30 × 257,528.16
  4. Step 4: Simplify right side
    329,051.52x = 126,917,165,294.93
  5. Step 5: Solve for x
    x = 126,917,165,294.93/329,051.52
  6. Step 6: Final answer
    x = 385,706.06

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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.