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Finding the Fourth Proportional to 378,421.81, 521,679.47 and 297,709.16

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Solution

The fourth proportional to 378,421.81, 521,679.47 and 297,709.16 is: 410,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,421.81 : 521,679.47 = 297,709.16 : x
  2. Step 2: Convert to fraction form
    378,421.81/521,679.47 = 297,709.16/x
  3. Step 3: Cross multiply
    378,421.81x = 521,679.47 × 297,709.16
  4. Step 4: Simplify right side
    378,421.81x = 155,308,754,194.55
  5. Step 5: Solve for x
    x = 155,308,754,194.55/378,421.81
  6. Step 6: Final answer
    x = 410,411.75

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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.