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Finding the Fourth Proportional to 496,344.75, 684,969.57 and 278,566.93

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Solution

The fourth proportional to 496,344.75, 684,969.57 and 278,566.93 is: 384,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,344.75 : 684,969.57 = 278,566.93 : x
  2. Step 2: Convert to fraction form
    496,344.75/684,969.57 = 278,566.93/x
  3. Step 3: Cross multiply
    496,344.75x = 684,969.57 × 278,566.93
  4. Step 4: Simplify right side
    496,344.75x = 190,809,871,114.53
  5. Step 5: Solve for x
    x = 190,809,871,114.53/496,344.75
  6. Step 6: Final answer
    x = 384,430.12

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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.