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Finding the Fourth Proportional to 280,090.15, 386,457.90 and 159,221.86

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Solution

The fourth proportional to 280,090.15, 386,457.90 and 159,221.86 is: 219,688.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,090.15 : 386,457.90 = 159,221.86 : x
  2. Step 2: Convert to fraction form
    280,090.15/386,457.90 = 159,221.86/x
  3. Step 3: Cross multiply
    280,090.15x = 386,457.90 × 159,221.86
  4. Step 4: Simplify right side
    280,090.15x = 61,532,545,649.69
  5. Step 5: Solve for x
    x = 61,532,545,649.69/280,090.15
  6. Step 6: Final answer
    x = 219,688.36

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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.