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Finding the Fourth Proportional to 466,271.40, 699,407.10 and 428,946.60

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Solution

The fourth proportional to 466,271.40, 699,407.10 and 428,946.60 is: 643,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,271.40 : 699,407.10 = 428,946.60 : x
  2. Step 2: Convert to fraction form
    466,271.40/699,407.10 = 428,946.60/x
  3. Step 3: Cross multiply
    466,271.40x = 699,407.10 × 428,946.60
  4. Step 4: Simplify right side
    466,271.40x = 300,008,297,560.86
  5. Step 5: Solve for x
    x = 300,008,297,560.86/466,271.40
  6. Step 6: Final answer
    x = 643,419.90

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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.