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Finding the Fourth Proportional to 389,371, 537,331.98 and 210,523

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Solution

The fourth proportional to 389,371, 537,331.98 and 210,523 is: 290,521.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,371 : 537,331.98 = 210,523 : x
  2. Step 2: Convert to fraction form
    389,371/537,331.98 = 210,523/x
  3. Step 3: Cross multiply
    389,371x = 537,331.98 × 210,523
  4. Step 4: Simplify right side
    389,371x = 113,120,740,425.54
  5. Step 5: Solve for x
    x = 113,120,740,425.54/389,371
  6. Step 6: Final answer
    x = 290,521.74

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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.