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Finding the Fourth Proportional to 400,999.60, 601,661.40 and 176,402.80

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Solution

The fourth proportional to 400,999.60, 601,661.40 and 176,402.80 is: 264,675.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,999.60 : 601,661.40 = 176,402.80 : x
  2. Step 2: Convert to fraction form
    400,999.60/601,661.40 = 176,402.80/x
  3. Step 3: Cross multiply
    400,999.60x = 601,661.40 × 176,402.80
  4. Step 4: Simplify right side
    400,999.60x = 106,134,755,611.92
  5. Step 5: Solve for x
    x = 106,134,755,611.92/400,999.60
  6. Step 6: Final answer
    x = 264,675.47

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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.