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Finding the Fourth Proportional to 328,821.93, 493,284.48 and 139,282.84

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Solution

The fourth proportional to 328,821.93, 493,284.48 and 139,282.84 is: 208,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,821.93 : 493,284.48 = 139,282.84 : x
  2. Step 2: Convert to fraction form
    328,821.93/493,284.48 = 139,282.84/x
  3. Step 3: Cross multiply
    328,821.93x = 493,284.48 × 139,282.84
  4. Step 4: Simplify right side
    328,821.93x = 68,706,064,180.08
  5. Step 5: Solve for x
    x = 68,706,064,180.08/328,821.93
  6. Step 6: Final answer
    x = 208,946.11

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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.