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Finding the Fourth Proportional to 301,182.78, 415,645.38 and 180,300.78

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Solution

The fourth proportional to 301,182.78, 415,645.38 and 180,300.78 is: 248,822.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,182.78 : 415,645.38 = 180,300.78 : x
  2. Step 2: Convert to fraction form
    301,182.78/415,645.38 = 180,300.78/x
  3. Step 3: Cross multiply
    301,182.78x = 415,645.38 × 180,300.78
  4. Step 4: Simplify right side
    301,182.78x = 74,941,186,217.40
  5. Step 5: Solve for x
    x = 74,941,186,217.40/301,182.78
  6. Step 6: Final answer
    x = 248,822.94

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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.