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Finding the Fourth Proportional to 461,438.40, 690,621.60 and 334,718.40

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Solution

The fourth proportional to 461,438.40, 690,621.60 and 334,718.40 is: 500,963.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,438.40 : 690,621.60 = 334,718.40 : x
  2. Step 2: Convert to fraction form
    461,438.40/690,621.60 = 334,718.40/x
  3. Step 3: Cross multiply
    461,438.40x = 690,621.60 × 334,718.40
  4. Step 4: Simplify right side
    461,438.40x = 231,163,756,957.44
  5. Step 5: Solve for x
    x = 231,163,756,957.44/461,438.40
  6. Step 6: Final answer
    x = 500,963.42

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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.