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Finding the Fourth Proportional to 286,713.39, 395,674.70 and 157,661.70

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Solution

The fourth proportional to 286,713.39, 395,674.70 and 157,661.70 is: 217,578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,713.39 : 395,674.70 = 157,661.70 : x
  2. Step 2: Convert to fraction form
    286,713.39/395,674.70 = 157,661.70/x
  3. Step 3: Cross multiply
    286,713.39x = 395,674.70 × 157,661.70
  4. Step 4: Simplify right side
    286,713.39x = 62,382,745,848.99
  5. Step 5: Solve for x
    x = 62,382,745,848.99/286,713.39
  6. Step 6: Final answer
    x = 217,578.77

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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.