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Finding the Fourth Proportional to 319,347.51, 478,478.98 and 192,721.69

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Solution

The fourth proportional to 319,347.51, 478,478.98 and 192,721.69 is: 288,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,347.51 : 478,478.98 = 192,721.69 : x
  2. Step 2: Convert to fraction form
    319,347.51/478,478.98 = 192,721.69/x
  3. Step 3: Cross multiply
    319,347.51x = 478,478.98 × 192,721.69
  4. Step 4: Simplify right side
    319,347.51x = 92,213,277,655.08
  5. Step 5: Solve for x
    x = 92,213,277,655.08/319,347.51
  6. Step 6: Final answer
    x = 288,755.27

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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.