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Finding the Fourth Proportional to 328,409.83, 492,629.39 and 100,689.06

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Solution

The fourth proportional to 328,409.83, 492,629.39 and 100,689.06 is: 151,038.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,409.83 : 492,629.39 = 100,689.06 : x
  2. Step 2: Convert to fraction form
    328,409.83/492,629.39 = 100,689.06/x
  3. Step 3: Cross multiply
    328,409.83x = 492,629.39 × 100,689.06
  4. Step 4: Simplify right side
    328,409.83x = 49,602,390,207.47
  5. Step 5: Solve for x
    x = 49,602,390,207.47/328,409.83
  6. Step 6: Final answer
    x = 151,038.08

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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.