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Finding the Fourth Proportional to 320,371.90, 442,102.06 and 175,181.07

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Solution

The fourth proportional to 320,371.90, 442,102.06 and 175,181.07 is: 241,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,371.90 : 442,102.06 = 175,181.07 : x
  2. Step 2: Convert to fraction form
    320,371.90/442,102.06 = 175,181.07/x
  3. Step 3: Cross multiply
    320,371.90x = 442,102.06 × 175,181.07
  4. Step 4: Simplify right side
    320,371.90x = 77,447,911,920.00
  5. Step 5: Solve for x
    x = 77,447,911,920.00/320,371.90
  6. Step 6: Final answer
    x = 241,743.77

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1.5x scale

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.