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Finding the Fourth Proportional to 389,172, 537,057.36 and 210,324

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Solution

The fourth proportional to 389,172, 537,057.36 and 210,324 is: 290,247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,172 : 537,057.36 = 210,324 : x
  2. Step 2: Convert to fraction form
    389,172/537,057.36 = 210,324/x
  3. Step 3: Cross multiply
    389,172x = 537,057.36 × 210,324
  4. Step 4: Simplify right side
    389,172x = 112,956,052,184.64
  5. Step 5: Solve for x
    x = 112,956,052,184.64/389,172
  6. Step 6: Final answer
    x = 290,247.12

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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.