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Finding the Fourth Proportional to 300,732, 415,010.16 and 179,878.38

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Solution

The fourth proportional to 300,732, 415,010.16 and 179,878.38 is: 248,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,732 : 415,010.16 = 179,878.38 : x
  2. Step 2: Convert to fraction form
    300,732/415,010.16 = 179,878.38/x
  3. Step 3: Cross multiply
    300,732x = 415,010.16 × 179,878.38
  4. Step 4: Simplify right side
    300,732x = 74,651,355,264.34
  5. Step 5: Solve for x
    x = 74,651,355,264.34/300,732
  6. Step 6: Final answer
    x = 248,232.16

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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.