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Finding the Fourth Proportional to 385,510.92, 531,958.10 and 213,415.89

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Solution

The fourth proportional to 385,510.92, 531,958.10 and 213,415.89 is: 294,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,510.92 : 531,958.10 = 213,415.89 : x
  2. Step 2: Convert to fraction form
    385,510.92/531,958.10 = 213,415.89/x
  3. Step 3: Cross multiply
    385,510.92x = 531,958.10 × 213,415.89
  4. Step 4: Simplify right side
    385,510.92x = 113,528,310,287.13
  5. Step 5: Solve for x
    x = 113,528,310,287.13/385,510.92
  6. Step 6: Final answer
    x = 294,487.92

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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.