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Finding the Fourth Proportional to 385,783.86, 532,385.55 and 213,706.92

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Solution

The fourth proportional to 385,783.86, 532,385.55 and 213,706.92 is: 294,917.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,783.86 : 532,385.55 = 213,706.92 : x
  2. Step 2: Convert to fraction form
    385,783.86/532,385.55 = 213,706.92/x
  3. Step 3: Cross multiply
    385,783.86x = 532,385.55 × 213,706.92
  4. Step 4: Simplify right side
    385,783.86x = 113,774,476,143.01
  5. Step 5: Solve for x
    x = 113,774,476,143.01/385,783.86
  6. Step 6: Final answer
    x = 294,917.67

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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.