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Finding the Fourth Proportional to 285,999.93, 428,734.94 and 105,985.13

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Solution

The fourth proportional to 285,999.93, 428,734.94 and 105,985.13 is: 158,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,999.93 : 428,734.94 = 105,985.13 : x
  2. Step 2: Convert to fraction form
    285,999.93/428,734.94 = 105,985.13/x
  3. Step 3: Cross multiply
    285,999.93x = 428,734.94 × 105,985.13
  4. Step 4: Simplify right side
    285,999.93x = 45,439,525,677.84
  5. Step 5: Solve for x
    x = 45,439,525,677.84/285,999.93
  6. Step 6: Final answer
    x = 158,879.50

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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.