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Finding the Fourth Proportional to 389,821.54, 537,953.80 and 210,973.54

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Solution

The fourth proportional to 389,821.54, 537,953.80 and 210,973.54 is: 291,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,821.54 : 537,953.80 = 210,973.54 : x
  2. Step 2: Convert to fraction form
    389,821.54/537,953.80 = 210,973.54/x
  3. Step 3: Cross multiply
    389,821.54x = 537,953.80 × 210,973.54
  4. Step 4: Simplify right side
    389,821.54x = 113,494,017,542.45
  5. Step 5: Solve for x
    x = 113,494,017,542.45/389,821.54
  6. Step 6: Final answer
    x = 291,143.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.