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Finding the Fourth Proportional to 283,164.35, 390,678.80 and 160,636.52

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Solution

The fourth proportional to 283,164.35, 390,678.80 and 160,636.52 is: 221,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,164.35 : 390,678.80 = 160,636.52 : x
  2. Step 2: Convert to fraction form
    283,164.35/390,678.80 = 160,636.52/x
  3. Step 3: Cross multiply
    283,164.35x = 390,678.80 × 160,636.52
  4. Step 4: Simplify right side
    283,164.35x = 62,757,283,043.29
  5. Step 5: Solve for x
    x = 62,757,283,043.29/283,164.35
  6. Step 6: Final answer
    x = 221,628.48

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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.