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Finding the Fourth Proportional to 531,611.81, 733,642.02 and 289,907.61

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Solution

The fourth proportional to 531,611.81, 733,642.02 and 289,907.61 is: 400,082.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,611.81 : 733,642.02 = 289,907.61 : x
  2. Step 2: Convert to fraction form
    531,611.81/733,642.02 = 289,907.61/x
  3. Step 3: Cross multiply
    531,611.81x = 733,642.02 × 289,907.61
  4. Step 4: Simplify right side
    531,611.81x = 212,688,403,164.23
  5. Step 5: Solve for x
    x = 212,688,403,164.23/531,611.81
  6. Step 6: Final answer
    x = 400,082.16

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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.