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Finding the Fourth Proportional to 328,230.84, 492,398.82 and 138,693.07

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Solution

The fourth proportional to 328,230.84, 492,398.82 and 138,693.07 is: 208,061.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,230.84 : 492,398.82 = 138,693.07 : x
  2. Step 2: Convert to fraction form
    328,230.84/492,398.82 = 138,693.07/x
  3. Step 3: Cross multiply
    328,230.84x = 492,398.82 × 138,693.07
  4. Step 4: Simplify right side
    328,230.84x = 68,292,304,010.18
  5. Step 5: Solve for x
    x = 68,292,304,010.18/328,230.84
  6. Step 6: Final answer
    x = 208,061.81

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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.