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Finding the Fourth Proportional to 285,698.09, 428,171.14 and 159,397.80

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Solution

The fourth proportional to 285,698.09, 428,171.14 and 159,397.80 is: 238,886.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,698.09 : 428,171.14 = 159,397.80 : x
  2. Step 2: Convert to fraction form
    285,698.09/428,171.14 = 159,397.80/x
  3. Step 3: Cross multiply
    285,698.09x = 428,171.14 × 159,397.80
  4. Step 4: Simplify right side
    285,698.09x = 68,249,537,739.49
  5. Step 5: Solve for x
    x = 68,249,537,739.49/285,698.09
  6. Step 6: Final answer
    x = 238,886.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.