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Finding the Fourth Proportional to 397,410.56, 548,430.24 and 216,124.20

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Solution

The fourth proportional to 397,410.56, 548,430.24 and 216,124.20 is: 298,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,410.56 : 548,430.24 = 216,124.20 : x
  2. Step 2: Convert to fraction form
    397,410.56/548,430.24 = 216,124.20/x
  3. Step 3: Cross multiply
    397,410.56x = 548,430.24 × 216,124.20
  4. Step 4: Simplify right side
    397,410.56x = 118,529,046,875.81
  5. Step 5: Solve for x
    x = 118,529,046,875.81/397,410.56
  6. Step 6: Final answer
    x = 298,253.39

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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.