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Finding the Fourth Proportional to 402,541.26, 603,805.68 and 103,019.28

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Solution

The fourth proportional to 402,541.26, 603,805.68 and 103,019.28 is: 154,527.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,541.26 : 603,805.68 = 103,019.28 : x
  2. Step 2: Convert to fraction form
    402,541.26/603,805.68 = 103,019.28/x
  3. Step 3: Cross multiply
    402,541.26x = 603,805.68 × 103,019.28
  4. Step 4: Simplify right side
    402,541.26x = 62,203,626,413.51
  5. Step 5: Solve for x
    x = 62,203,626,413.51/402,541.26
  6. Step 6: Final answer
    x = 154,527.33

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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.