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Finding the Fourth Proportional to 531,002.14, 732,774.42 and 289,287.64

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Solution

The fourth proportional to 531,002.14, 732,774.42 and 289,287.64 is: 399,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,002.14 : 732,774.42 = 289,287.64 : x
  2. Step 2: Convert to fraction form
    531,002.14/732,774.42 = 289,287.64/x
  3. Step 3: Cross multiply
    531,002.14x = 732,774.42 × 289,287.64
  4. Step 4: Simplify right side
    531,002.14x = 211,982,582,614.17
  5. Step 5: Solve for x
    x = 211,982,582,614.17/531,002.14
  6. Step 6: Final answer
    x = 399,212.29

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1.5x scale

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.