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Finding the Fourth Proportional to 420,877.79, 580,639.41 and 310,760.35

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Solution

The fourth proportional to 420,877.79, 580,639.41 and 310,760.35 is: 428,722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,877.79 : 580,639.41 = 310,760.35 : x
  2. Step 2: Convert to fraction form
    420,877.79/580,639.41 = 310,760.35/x
  3. Step 3: Cross multiply
    420,877.79x = 580,639.41 × 310,760.35
  4. Step 4: Simplify right side
    420,877.79x = 180,439,704,823.80
  5. Step 5: Solve for x
    x = 180,439,704,823.80/420,877.79
  6. Step 6: Final answer
    x = 428,722.32

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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.