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Finding the Fourth Proportional to 389,810, 537,937.84 and 210,962

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Solution

The fourth proportional to 389,810, 537,937.84 and 210,962 is: 291,127.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,810 : 537,937.84 = 210,962 : x
  2. Step 2: Convert to fraction form
    389,810/537,937.84 = 210,962/x
  3. Step 3: Cross multiply
    389,810x = 537,937.84 × 210,962
  4. Step 4: Simplify right side
    389,810x = 113,484,442,602.08
  5. Step 5: Solve for x
    x = 113,484,442,602.08/389,810
  6. Step 6: Final answer
    x = 291,127.58

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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.