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Finding the Fourth Proportional to 389,322, 537,265.64 and 210,475.28

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Solution

The fourth proportional to 389,322, 537,265.64 and 210,475.28 is: 290,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,322 : 537,265.64 = 210,475.28 : x
  2. Step 2: Convert to fraction form
    389,322/537,265.64 = 210,475.28/x
  3. Step 3: Cross multiply
    389,322x = 537,265.64 × 210,475.28
  4. Step 4: Simplify right side
    389,322x = 113,081,136,013.38
  5. Step 5: Solve for x
    x = 113,081,136,013.38/389,322
  6. Step 6: Final answer
    x = 290,456.58

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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.