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Finding the Fourth Proportional to 390,371, 538,712.70 and 211,523

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Solution

The fourth proportional to 390,371, 538,712.70 and 211,523 is: 291,902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,371 : 538,712.70 = 211,523 : x
  2. Step 2: Convert to fraction form
    390,371/538,712.70 = 211,523/x
  3. Step 3: Cross multiply
    390,371x = 538,712.70 × 211,523
  4. Step 4: Simplify right side
    390,371x = 113,950,126,442.10
  5. Step 5: Solve for x
    x = 113,950,126,442.10/390,371
  6. Step 6: Final answer
    x = 291,902.13

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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.