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Finding the Fourth Proportional to 378,402.89, 521,653.40 and 297,690.23

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Solution

The fourth proportional to 378,402.89, 521,653.40 and 297,690.23 is: 410,385.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,402.89 : 521,653.40 = 297,690.23 : x
  2. Step 2: Convert to fraction form
    378,402.89/521,653.40 = 297,690.23/x
  3. Step 3: Cross multiply
    378,402.89x = 521,653.40 × 297,690.23
  4. Step 4: Simplify right side
    378,402.89x = 155,291,121,558.30
  5. Step 5: Solve for x
    x = 155,291,121,558.30/378,402.89
  6. Step 6: Final answer
    x = 410,385.67

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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.