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Finding the Fourth Proportional to 531,003.14, 732,775.80 and 289,288.64

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Solution

The fourth proportional to 531,003.14, 732,775.80 and 289,288.64 is: 399,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,003.14 : 732,775.80 = 289,288.64 : x
  2. Step 2: Convert to fraction form
    531,003.14/732,775.80 = 289,288.64/x
  3. Step 3: Cross multiply
    531,003.14x = 732,775.80 × 289,288.64
  4. Step 4: Simplify right side
    531,003.14x = 211,983,714,606.91
  5. Step 5: Solve for x
    x = 211,983,714,606.91/531,003.14
  6. Step 6: Final answer
    x = 399,213.67

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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.