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Finding the Fourth Proportional to 301,881.12, 416,504.88 and 180,978.24

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Solution

The fourth proportional to 301,881.12, 416,504.88 and 180,978.24 is: 249,695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,881.12 : 416,504.88 = 180,978.24 : x
  2. Step 2: Convert to fraction form
    301,881.12/416,504.88 = 180,978.24/x
  3. Step 3: Cross multiply
    301,881.12x = 416,504.88 × 180,978.24
  4. Step 4: Simplify right side
    301,881.12x = 75,378,320,133.81
  5. Step 5: Solve for x
    x = 75,378,320,133.81/301,881.12
  6. Step 6: Final answer
    x = 249,695.38

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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.