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Finding the Fourth Proportional to 275,457.92, 380,171.64 and 152,978.24

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Solution

The fourth proportional to 275,457.92, 380,171.64 and 152,978.24 is: 211,132.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,457.92 : 380,171.64 = 152,978.24 : x
  2. Step 2: Convert to fraction form
    275,457.92/380,171.64 = 152,978.24/x
  3. Step 3: Cross multiply
    275,457.92x = 380,171.64 × 152,978.24
  4. Step 4: Simplify right side
    275,457.92x = 58,157,988,385.11
  5. Step 5: Solve for x
    x = 58,157,988,385.11/275,457.92
  6. Step 6: Final answer
    x = 211,132.02

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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.