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Finding the Fourth Proportional to 280,189.36, 386,662.60 and 152,867.60

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Solution

The fourth proportional to 280,189.36, 386,662.60 and 152,867.60 is: 210,957.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,189.36 : 386,662.60 = 152,867.60 : x
  2. Step 2: Convert to fraction form
    280,189.36/386,662.60 = 152,867.60/x
  3. Step 3: Cross multiply
    280,189.36x = 386,662.60 × 152,867.60
  4. Step 4: Simplify right side
    280,189.36x = 59,108,183,671.76
  5. Step 5: Solve for x
    x = 59,108,183,671.76/280,189.36
  6. Step 6: Final answer
    x = 210,957.99

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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.