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Finding the Fourth Proportional to 283,090.72, 390,655.44 and 155,754.40

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Solution

The fourth proportional to 283,090.72, 390,655.44 and 155,754.40 is: 214,935.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,090.72 : 390,655.44 = 155,754.40 : x
  2. Step 2: Convert to fraction form
    283,090.72/390,655.44 = 155,754.40/x
  3. Step 3: Cross multiply
    283,090.72x = 390,655.44 × 155,754.40
  4. Step 4: Simplify right side
    283,090.72x = 60,846,303,663.94
  5. Step 5: Solve for x
    x = 60,846,303,663.94/283,090.72
  6. Step 6: Final answer
    x = 214,935.71

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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.