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Finding the Fourth Proportional to 393,413.15, 589,123.23 and 243,945.37

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Solution

The fourth proportional to 393,413.15, 589,123.23 and 243,945.37 is: 365,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,413.15 : 589,123.23 = 243,945.37 : x
  2. Step 2: Convert to fraction form
    393,413.15/589,123.23 = 243,945.37/x
  3. Step 3: Cross multiply
    393,413.15x = 589,123.23 × 243,945.37
  4. Step 4: Simplify right side
    393,413.15x = 143,713,884,139.55
  5. Step 5: Solve for x
    x = 143,713,884,139.55/393,413.15
  6. Step 6: Final answer
    x = 365,300.15

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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.