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Finding the Fourth Proportional to 496,340.64, 684,795.60 and 281,463.84

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Solution

The fourth proportional to 496,340.64, 684,795.60 and 281,463.84 is: 388,332.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,340.64 : 684,795.60 = 281,463.84 : x
  2. Step 2: Convert to fraction form
    496,340.64/684,795.60 = 281,463.84/x
  3. Step 3: Cross multiply
    496,340.64x = 684,795.60 × 281,463.84
  4. Step 4: Simplify right side
    496,340.64x = 192,745,199,191.10
  5. Step 5: Solve for x
    x = 192,745,199,191.10/496,340.64
  6. Step 6: Final answer
    x = 388,332.50

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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.