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Finding the Fourth Proportional to 315,198, 434,913.76 and 187,885.44

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Solution

The fourth proportional to 315,198, 434,913.76 and 187,885.44 is: 259,246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,198 : 434,913.76 = 187,885.44 : x
  2. Step 2: Convert to fraction form
    315,198/434,913.76 = 187,885.44/x
  3. Step 3: Cross multiply
    315,198x = 434,913.76 × 187,885.44
  4. Step 4: Simplify right side
    315,198x = 81,713,963,159.65
  5. Step 5: Solve for x
    x = 81,713,963,159.65/315,198
  6. Step 6: Final answer
    x = 259,246.45

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1.5x scale

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.