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Finding the Fourth Proportional to 531,420.68, 733,343.46 and 289,699.40

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Solution

The fourth proportional to 531,420.68, 733,343.46 and 289,699.40 is: 399,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,420.68 : 733,343.46 = 289,699.40 : x
  2. Step 2: Convert to fraction form
    531,420.68/733,343.46 = 289,699.40/x
  3. Step 3: Cross multiply
    531,420.68x = 733,343.46 × 289,699.40
  4. Step 4: Simplify right side
    531,420.68x = 212,449,156,689.21
  5. Step 5: Solve for x
    x = 212,449,156,689.21/531,420.68
  6. Step 6: Final answer
    x = 399,775.86

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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.