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Finding the Fourth Proportional to 282,668.80, 390,081.78 and 161,809.50

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Solution

The fourth proportional to 282,668.80, 390,081.78 and 161,809.50 is: 223,296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,668.80 : 390,081.78 = 161,809.50 : x
  2. Step 2: Convert to fraction form
    282,668.80/390,081.78 = 161,809.50/x
  3. Step 3: Cross multiply
    282,668.80x = 390,081.78 × 161,809.50
  4. Step 4: Simplify right side
    282,668.80x = 63,118,937,780.91
  5. Step 5: Solve for x
    x = 63,118,937,780.91/282,668.80
  6. Step 6: Final answer
    x = 223,296.44

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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.