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Finding the Fourth Proportional to 390,369, 538,709.94 and 211,521

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Solution

The fourth proportional to 390,369, 538,709.94 and 211,521 is: 291,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,369 : 538,709.94 = 211,521 : x
  2. Step 2: Convert to fraction form
    390,369/538,709.94 = 211,521/x
  3. Step 3: Cross multiply
    390,369x = 538,709.94 × 211,521
  4. Step 4: Simplify right side
    390,369x = 113,948,465,218.74
  5. Step 5: Solve for x
    x = 113,948,465,218.74/390,369
  6. Step 6: Final answer
    x = 291,899.37

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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.