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Finding the Fourth Proportional to 523,010.40, 783,478.80 and 312,021.60

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Solution

The fourth proportional to 523,010.40, 783,478.80 and 312,021.60 is: 467,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,010.40 : 783,478.80 = 312,021.60 : x
  2. Step 2: Convert to fraction form
    523,010.40/783,478.80 = 312,021.60/x
  3. Step 3: Cross multiply
    523,010.40x = 783,478.80 × 312,021.60
  4. Step 4: Simplify right side
    523,010.40x = 244,462,308,742.08
  5. Step 5: Solve for x
    x = 244,462,308,742.08/523,010.40
  6. Step 6: Final answer
    x = 467,413.86

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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.