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Finding the Fourth Proportional to 283,090.94, 390,668.23 and 155,769.27

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Solution

The fourth proportional to 283,090.94, 390,668.23 and 155,769.27 is: 214,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,090.94 : 390,668.23 = 155,769.27 : x
  2. Step 2: Convert to fraction form
    283,090.94/390,668.23 = 155,769.27/x
  3. Step 3: Cross multiply
    283,090.94x = 390,668.23 × 155,769.27
  4. Step 4: Simplify right side
    283,090.94x = 60,854,104,999.29
  5. Step 5: Solve for x
    x = 60,854,104,999.29/283,090.94
  6. Step 6: Final answer
    x = 214,963.10

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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.