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Finding the Fourth Proportional to 647,465.60, 971,198.40 and 423,516.80

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Solution

The fourth proportional to 647,465.60, 971,198.40 and 423,516.80 is: 635,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,465.60 : 971,198.40 = 423,516.80 : x
  2. Step 2: Convert to fraction form
    647,465.60/971,198.40 = 423,516.80/x
  3. Step 3: Cross multiply
    647,465.60x = 971,198.40 × 423,516.80
  4. Step 4: Simplify right side
    647,465.60x = 411,318,838,533.12
  5. Step 5: Solve for x
    x = 411,318,838,533.12/647,465.60
  6. Step 6: Final answer
    x = 635,275.20

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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.