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Finding the Fourth Proportional to 385,709.30, 532,238.32 and 213,622.76

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Solution

The fourth proportional to 385,709.30, 532,238.32 and 213,622.76 is: 294,776.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,709.30 : 532,238.32 = 213,622.76 : x
  2. Step 2: Convert to fraction form
    385,709.30/532,238.32 = 213,622.76/x
  3. Step 3: Cross multiply
    385,709.30x = 532,238.32 × 213,622.76
  4. Step 4: Simplify right side
    385,709.30x = 113,698,217,696.81
  5. Step 5: Solve for x
    x = 113,698,217,696.81/385,709.30
  6. Step 6: Final answer
    x = 294,776.96

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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.