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Finding the Fourth Proportional to 285,316, 393,747.94 and 157,991.58

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Solution

The fourth proportional to 285,316, 393,747.94 and 157,991.58 is: 218,034.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,316 : 393,747.94 = 157,991.58 : x
  2. Step 2: Convert to fraction form
    285,316/393,747.94 = 157,991.58/x
  3. Step 3: Cross multiply
    285,316x = 393,747.94 × 157,991.58
  4. Step 4: Simplify right side
    285,316x = 62,208,859,162.35
  5. Step 5: Solve for x
    x = 62,208,859,162.35/285,316
  6. Step 6: Final answer
    x = 218,034.95

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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.