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Finding the Fourth Proportional to 385,709.62, 532,238.75 and 213,623.07

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Solution

The fourth proportional to 385,709.62, 532,238.75 and 213,623.07 is: 294,777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,709.62 : 532,238.75 = 213,623.07 : x
  2. Step 2: Convert to fraction form
    385,709.62/532,238.75 = 213,623.07/x
  3. Step 3: Cross multiply
    385,709.62x = 532,238.75 × 213,623.07
  4. Step 4: Simplify right side
    385,709.62x = 113,698,475,747.96
  5. Step 5: Solve for x
    x = 113,698,475,747.96/385,709.62
  6. Step 6: Final answer
    x = 294,777.40

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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.