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Finding the Fourth Proportional to 390,137.25, 538,389.41 and 211,289.25

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Solution

The fourth proportional to 390,137.25, 538,389.41 and 211,289.25 is: 291,579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,137.25 : 538,389.41 = 211,289.25 : x
  2. Step 2: Convert to fraction form
    390,137.25/538,389.41 = 211,289.25/x
  3. Step 3: Cross multiply
    390,137.25x = 538,389.41 × 211,289.25
  4. Step 4: Simplify right side
    390,137.25x = 113,755,893,590.40
  5. Step 5: Solve for x
    x = 113,755,893,590.40/390,137.25
  6. Step 6: Final answer
    x = 291,579.17

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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.