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Finding the Fourth Proportional to 397,407.76, 548,433 and 216,130.96

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Solution

The fourth proportional to 397,407.76, 548,433 and 216,130.96 is: 298,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,407.76 : 548,433 = 216,130.96 : x
  2. Step 2: Convert to fraction form
    397,407.76/548,433 = 216,130.96/x
  3. Step 3: Cross multiply
    397,407.76x = 548,433 × 216,130.96
  4. Step 4: Simplify right side
    397,407.76x = 118,533,350,785.68
  5. Step 5: Solve for x
    x = 118,533,350,785.68/397,407.76
  6. Step 6: Final answer
    x = 298,266.32

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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.