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Finding the Fourth Proportional to 283,056, 390,613.52 and 155,728.88

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Solution

The fourth proportional to 283,056, 390,613.52 and 155,728.88 is: 214,903.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,056 : 390,613.52 = 155,728.88 : x
  2. Step 2: Convert to fraction form
    283,056/390,613.52 = 155,728.88/x
  3. Step 3: Cross multiply
    283,056x = 390,613.52 × 155,728.88
  4. Step 4: Simplify right side
    283,056x = 60,829,805,982.46
  5. Step 5: Solve for x
    x = 60,829,805,982.46/283,056
  6. Step 6: Final answer
    x = 214,903.79

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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.