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Finding the Fourth Proportional to 397,384.50, 548,393.21 and 216,098.40

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Solution

The fourth proportional to 397,384.50, 548,393.21 and 216,098.40 is: 298,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,384.50 : 548,393.21 = 216,098.40 : x
  2. Step 2: Convert to fraction form
    397,384.50/548,393.21 = 216,098.40/x
  3. Step 3: Cross multiply
    397,384.50x = 548,393.21 × 216,098.40
  4. Step 4: Simplify right side
    397,384.50x = 118,506,894,171.37
  5. Step 5: Solve for x
    x = 118,506,894,171.37/397,384.50
  6. Step 6: Final answer
    x = 298,217.20

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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.