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Finding the Fourth Proportional to 647,159.95, 971,025.87 and 339,338.42

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Solution

The fourth proportional to 647,159.95, 971,025.87 and 339,338.42 is: 509,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,159.95 : 971,025.87 = 339,338.42 : x
  2. Step 2: Convert to fraction form
    647,159.95/971,025.87 = 339,338.42/x
  3. Step 3: Cross multiply
    647,159.95x = 971,025.87 × 339,338.42
  4. Step 4: Simplify right side
    647,159.95x = 329,506,384,497.58
  5. Step 5: Solve for x
    x = 329,506,384,497.58/647,159.95
  6. Step 6: Final answer
    x = 509,157.57

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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.