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Finding the Fourth Proportional to 407,999.50, 612,021.12 and 127,538.62

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Solution

The fourth proportional to 407,999.50, 612,021.12 and 127,538.62 is: 191,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,999.50 : 612,021.12 = 127,538.62 : x
  2. Step 2: Convert to fraction form
    407,999.50/612,021.12 = 127,538.62/x
  3. Step 3: Cross multiply
    407,999.50x = 612,021.12 × 127,538.62
  4. Step 4: Simplify right side
    407,999.50x = 78,056,329,055.65
  5. Step 5: Solve for x
    x = 78,056,329,055.65/407,999.50
  6. Step 6: Final answer
    x = 191,314.77

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1.5x scale

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.