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Finding the Fourth Proportional to 379,807.94, 569,991.82 and 180,128.90

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Solution

The fourth proportional to 379,807.94, 569,991.82 and 180,128.90 is: 270,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,807.94 : 569,991.82 = 180,128.90 : x
  2. Step 2: Convert to fraction form
    379,807.94/569,991.82 = 180,128.90/x
  3. Step 3: Cross multiply
    379,807.94x = 569,991.82 × 180,128.90
  4. Step 4: Simplify right side
    379,807.94x = 102,671,999,545.60
  5. Step 5: Solve for x
    x = 102,671,999,545.60/379,807.94
  6. Step 6: Final answer
    x = 270,326.10

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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.