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Finding the Fourth Proportional to 308,835.84, 426,068.64 and 187,880.16

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Solution

The fourth proportional to 308,835.84, 426,068.64 and 187,880.16 is: 259,198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,835.84 : 426,068.64 = 187,880.16 : x
  2. Step 2: Convert to fraction form
    308,835.84/426,068.64 = 187,880.16/x
  3. Step 3: Cross multiply
    308,835.84x = 426,068.64 × 187,880.16
  4. Step 4: Simplify right side
    308,835.84x = 80,049,844,254.18
  5. Step 5: Solve for x
    x = 80,049,844,254.18/308,835.84
  6. Step 6: Final answer
    x = 259,198.69

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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.