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Finding the Fourth Proportional to 283,042.70, 390,598.34 and 155,718

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Solution

The fourth proportional to 283,042.70, 390,598.34 and 155,718 is: 214,890.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,042.70 : 390,598.34 = 155,718 : x
  2. Step 2: Convert to fraction form
    283,042.70/390,598.34 = 155,718/x
  3. Step 3: Cross multiply
    283,042.70x = 390,598.34 × 155,718
  4. Step 4: Simplify right side
    283,042.70x = 60,823,192,308.12
  5. Step 5: Solve for x
    x = 60,823,192,308.12/283,042.70
  6. Step 6: Final answer
    x = 214,890.52

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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.