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Finding the Fourth Proportional to 295,485.57, 407,785.29 and 180,728.21

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Solution

The fourth proportional to 295,485.57, 407,785.29 and 180,728.21 is: 249,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,485.57 : 407,785.29 = 180,728.21 : x
  2. Step 2: Convert to fraction form
    295,485.57/407,785.29 = 180,728.21/x
  3. Step 3: Cross multiply
    295,485.57x = 407,785.29 × 180,728.21
  4. Step 4: Simplify right side
    295,485.57x = 73,698,305,867.76
  5. Step 5: Solve for x
    x = 73,698,305,867.76/295,485.57
  6. Step 6: Final answer
    x = 249,414.23

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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.