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Finding the Fourth Proportional to 328,114, 492,218.52 and 103,398.40

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Solution

The fourth proportional to 328,114, 492,218.52 and 103,398.40 is: 155,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,114 : 492,218.52 = 103,398.40 : x
  2. Step 2: Convert to fraction form
    328,114/492,218.52 = 103,398.40/x
  3. Step 3: Cross multiply
    328,114x = 492,218.52 × 103,398.40
  4. Step 4: Simplify right side
    328,114x = 50,894,607,418.37
  5. Step 5: Solve for x
    x = 50,894,607,418.37/328,114
  6. Step 6: Final answer
    x = 155,112.57

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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.