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Finding the Fourth Proportional to 535,580, 739,100.40 and 297,116

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Solution

The fourth proportional to 535,580, 739,100.40 and 297,116 is: 410,020.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,580 : 739,100.40 = 297,116 : x
  2. Step 2: Convert to fraction form
    535,580/739,100.40 = 297,116/x
  3. Step 3: Cross multiply
    535,580x = 739,100.40 × 297,116
  4. Step 4: Simplify right side
    535,580x = 219,598,554,446.40
  5. Step 5: Solve for x
    x = 219,598,554,446.40/535,580
  6. Step 6: Final answer
    x = 410,020.08

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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.