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Finding the Fourth Proportional to 301,019.94, 415,420.26 and 180,137.85

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Solution

The fourth proportional to 301,019.94, 415,420.26 and 180,137.85 is: 248,597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,019.94 : 415,420.26 = 180,137.85 : x
  2. Step 2: Convert to fraction form
    301,019.94/415,420.26 = 180,137.85/x
  3. Step 3: Cross multiply
    301,019.94x = 415,420.26 × 180,137.85
  4. Step 4: Simplify right side
    301,019.94x = 74,832,912,482.84
  5. Step 5: Solve for x
    x = 74,832,912,482.84/301,019.94
  6. Step 6: Final answer
    x = 248,597.86

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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.