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Finding the Fourth Proportional to 380,734.65, 525,413.66 and 227,779.31

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Solution

The fourth proportional to 380,734.65, 525,413.66 and 227,779.31 is: 314,335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,734.65 : 525,413.66 = 227,779.31 : x
  2. Step 2: Convert to fraction form
    380,734.65/525,413.66 = 227,779.31/x
  3. Step 3: Cross multiply
    380,734.65x = 525,413.66 × 227,779.31
  4. Step 4: Simplify right side
    380,734.65x = 119,678,361,114.01
  5. Step 5: Solve for x
    x = 119,678,361,114.01/380,734.65
  6. Step 6: Final answer
    x = 314,335.35

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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.