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Finding the Fourth Proportional to 678,503.94, 936,298.89 and 376,678.50

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Solution

The fourth proportional to 678,503.94, 936,298.89 and 376,678.50 is: 519,796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,503.94 : 936,298.89 = 376,678.50 : x
  2. Step 2: Convert to fraction form
    678,503.94/936,298.89 = 376,678.50/x
  3. Step 3: Cross multiply
    678,503.94x = 936,298.89 × 376,678.50
  4. Step 4: Simplify right side
    678,503.94x = 352,683,661,436.87
  5. Step 5: Solve for x
    x = 352,683,661,436.87/678,503.94
  6. Step 6: Final answer
    x = 519,796.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.