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Finding the Fourth Proportional to 531,729.44, 733,783.80 and 290,007.68

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Solution

The fourth proportional to 531,729.44, 733,783.80 and 290,007.68 is: 400,209.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,729.44 : 733,783.80 = 290,007.68 : x
  2. Step 2: Convert to fraction form
    531,729.44/733,783.80 = 290,007.68/x
  3. Step 3: Cross multiply
    531,729.44x = 733,783.80 × 290,007.68
  4. Step 4: Simplify right side
    531,729.44x = 212,802,937,459.58
  5. Step 5: Solve for x
    x = 212,802,937,459.58/531,729.44
  6. Step 6: Final answer
    x = 400,209.06

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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.