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Finding the Fourth Proportional to 319,296.84, 478,914.16 and 129,768.57

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Solution

The fourth proportional to 319,296.84, 478,914.16 and 129,768.57 is: 194,640.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,296.84 : 478,914.16 = 129,768.57 : x
  2. Step 2: Convert to fraction form
    319,296.84/478,914.16 = 129,768.57/x
  3. Step 3: Cross multiply
    319,296.84x = 478,914.16 × 129,768.57
  4. Step 4: Simplify right side
    319,296.84x = 62,148,005,047.11
  5. Step 5: Solve for x
    x = 62,148,005,047.11/319,296.84
  6. Step 6: Final answer
    x = 194,640.21

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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.