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Finding the Fourth Proportional to 320,258, 480,387 and 86,786

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Solution

The fourth proportional to 320,258, 480,387 and 86,786 is: 130,179

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,258 : 480,387 = 86,786 : x
  2. Step 2: Convert to fraction form
    320,258/480,387 = 86,786/x
  3. Step 3: Cross multiply
    320,258x = 480,387 × 86,786
  4. Step 4: Simplify right side
    320,258x = 41,690,866,182
  5. Step 5: Solve for x
    x = 41,690,866,182/320,258
  6. Step 6: Final answer
    x = 130,179

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.