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Finding the Fourth Proportional to 486,021.60, 729,032.40 and 428,940.90

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Solution

The fourth proportional to 486,021.60, 729,032.40 and 428,940.90 is: 643,411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,021.60 : 729,032.40 = 428,940.90 : x
  2. Step 2: Convert to fraction form
    486,021.60/729,032.40 = 428,940.90/x
  3. Step 3: Cross multiply
    486,021.60x = 729,032.40 × 428,940.90
  4. Step 4: Simplify right side
    486,021.60x = 312,711,813,785.16
  5. Step 5: Solve for x
    x = 312,711,813,785.16/486,021.60
  6. Step 6: Final answer
    x = 643,411.35

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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.