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Finding the Fourth Proportional to 531,301.65, 733,189.80 and 289,583.46

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Solution

The fourth proportional to 531,301.65, 733,189.80 and 289,583.46 is: 399,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,301.65 : 733,189.80 = 289,583.46 : x
  2. Step 2: Convert to fraction form
    531,301.65/733,189.80 = 289,583.46/x
  3. Step 3: Cross multiply
    531,301.65x = 733,189.80 × 289,583.46
  4. Step 4: Simplify right side
    531,301.65x = 212,319,639,120.71
  5. Step 5: Solve for x
    x = 212,319,639,120.71/531,301.65
  6. Step 6: Final answer
    x = 399,621.64

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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.