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Finding the Fourth Proportional to 319,045.74, 478,677.45 and 200,578.38

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Solution

The fourth proportional to 319,045.74, 478,677.45 and 200,578.38 is: 300,936.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,045.74 : 478,677.45 = 200,578.38 : x
  2. Step 2: Convert to fraction form
    319,045.74/478,677.45 = 200,578.38/x
  3. Step 3: Cross multiply
    319,045.74x = 478,677.45 × 200,578.38
  4. Step 4: Simplify right side
    319,045.74x = 96,012,347,463.53
  5. Step 5: Solve for x
    x = 96,012,347,463.53/319,045.74
  6. Step 6: Final answer
    x = 300,936.00

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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.