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Finding the Fourth Proportional to 486,435.42, 729,258.71 and 202,338.50

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Solution

The fourth proportional to 486,435.42, 729,258.71 and 202,338.50 is: 303,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,435.42 : 729,258.71 = 202,338.50 : x
  2. Step 2: Convert to fraction form
    486,435.42/729,258.71 = 202,338.50/x
  3. Step 3: Cross multiply
    486,435.42x = 729,258.71 × 202,338.50
  4. Step 4: Simplify right side
    486,435.42x = 147,557,108,835.35
  5. Step 5: Solve for x
    x = 147,557,108,835.35/486,435.42
  6. Step 6: Final answer
    x = 303,343.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.