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Finding the Fourth Proportional to 389,526, 537,545.92 and 210,678

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Solution

The fourth proportional to 389,526, 537,545.92 and 210,678 is: 290,735.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,526 : 537,545.92 = 210,678 : x
  2. Step 2: Convert to fraction form
    389,526/537,545.92 = 210,678/x
  3. Step 3: Cross multiply
    389,526x = 537,545.92 × 210,678
  4. Step 4: Simplify right side
    389,526x = 113,249,099,333.76
  5. Step 5: Solve for x
    x = 113,249,099,333.76/389,526
  6. Step 6: Final answer
    x = 290,735.66

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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.