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Finding the Fourth Proportional to 398,934.72, 550,598.31 and 380,998.08

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Solution

The fourth proportional to 398,934.72, 550,598.31 and 380,998.08 is: 525,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,934.72 : 550,598.31 = 380,998.08 : x
  2. Step 2: Convert to fraction form
    398,934.72/550,598.31 = 380,998.08/x
  3. Step 3: Cross multiply
    398,934.72x = 550,598.31 × 380,998.08
  4. Step 4: Simplify right side
    398,934.72x = 209,776,898,961.25
  5. Step 5: Solve for x
    x = 209,776,898,961.25/398,934.72
  6. Step 6: Final answer
    x = 525,842.67

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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.