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Finding the Fourth Proportional to 531,309.90, 733,201.20 and 289,591.74

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Solution

The fourth proportional to 531,309.90, 733,201.20 and 289,591.74 is: 399,633.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,309.90 : 733,201.20 = 289,591.74 : x
  2. Step 2: Convert to fraction form
    531,309.90/733,201.20 = 289,591.74/x
  3. Step 3: Cross multiply
    531,309.90x = 733,201.20 × 289,591.74
  4. Step 4: Simplify right side
    531,309.90x = 212,329,011,278.09
  5. Step 5: Solve for x
    x = 212,329,011,278.09/531,309.90
  6. Step 6: Final answer
    x = 399,633.08

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1.5x scale

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.