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Finding the Fourth Proportional to 397,322.40, 548,302.05 and 216,034.28

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Solution

The fourth proportional to 397,322.40, 548,302.05 and 216,034.28 is: 298,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,322.40 : 548,302.05 = 216,034.28 : x
  2. Step 2: Convert to fraction form
    397,322.40/548,302.05 = 216,034.28/x
  3. Step 3: Cross multiply
    397,322.40x = 548,302.05 × 216,034.28
  4. Step 4: Simplify right side
    397,322.40x = 118,452,035,852.76
  5. Step 5: Solve for x
    x = 118,452,035,852.76/397,322.40
  6. Step 6: Final answer
    x = 298,125.74

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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.