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Finding the Fourth Proportional to 285,943.58, 428,918.46 and 86,265.71

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Solution

The fourth proportional to 285,943.58, 428,918.46 and 86,265.71 is: 129,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,943.58 : 428,918.46 = 86,265.71 : x
  2. Step 2: Convert to fraction form
    285,943.58/428,918.46 = 86,265.71/x
  3. Step 3: Cross multiply
    285,943.58x = 428,918.46 × 86,265.71
  4. Step 4: Simplify right side
    285,943.58x = 37,000,955,484.01
  5. Step 5: Solve for x
    x = 37,000,955,484.01/285,943.58
  6. Step 6: Final answer
    x = 129,399.50

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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.