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Finding the Fourth Proportional to 531,368.64, 733,287.96 and 289,651.68

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Solution

The fourth proportional to 531,368.64, 733,287.96 and 289,651.68 is: 399,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,368.64 : 733,287.96 = 289,651.68 : x
  2. Step 2: Convert to fraction form
    531,368.64/733,287.96 = 289,651.68/x
  3. Step 3: Cross multiply
    531,368.64x = 733,287.96 × 289,651.68
  4. Step 4: Simplify right side
    531,368.64x = 212,398,089,537.77
  5. Step 5: Solve for x
    x = 212,398,089,537.77/531,368.64
  6. Step 6: Final answer
    x = 399,718.90

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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.