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Finding the Fourth Proportional to 390,537, 538,941.12 and 211,689

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Solution

The fourth proportional to 390,537, 538,941.12 and 211,689 is: 292,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,537 : 538,941.12 = 211,689 : x
  2. Step 2: Convert to fraction form
    390,537/538,941.12 = 211,689/x
  3. Step 3: Cross multiply
    390,537x = 538,941.12 × 211,689
  4. Step 4: Simplify right side
    390,537x = 114,087,906,751.68
  5. Step 5: Solve for x
    x = 114,087,906,751.68/390,537
  6. Step 6: Final answer
    x = 292,130.85

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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.