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Finding the Fourth Proportional to 531,813.76, 733,904 and 290,096.64

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Solution

The fourth proportional to 531,813.76, 733,904 and 290,096.64 is: 400,333.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,813.76 : 733,904 = 290,096.64 : x
  2. Step 2: Convert to fraction form
    531,813.76/733,904 = 290,096.64/x
  3. Step 3: Cross multiply
    531,813.76x = 733,904 × 290,096.64
  4. Step 4: Simplify right side
    531,813.76x = 212,903,084,482.56
  5. Step 5: Solve for x
    x = 212,903,084,482.56/531,813.76
  6. Step 6: Final answer
    x = 400,333.91

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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.