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Finding the Fourth Proportional to 389,502, 537,512.76 and 210,654

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Solution

The fourth proportional to 389,502, 537,512.76 and 210,654 is: 290,702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,502 : 537,512.76 = 210,654 : x
  2. Step 2: Convert to fraction form
    389,502/537,512.76 = 210,654/x
  3. Step 3: Cross multiply
    389,502x = 537,512.76 × 210,654
  4. Step 4: Simplify right side
    389,502x = 113,229,212,945.04
  5. Step 5: Solve for x
    x = 113,229,212,945.04/389,502
  6. Step 6: Final answer
    x = 290,702.52

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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.