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Finding the Fourth Proportional to 500,702.98, 690,970.54 and 274,348.48

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Solution

The fourth proportional to 500,702.98, 690,970.54 and 274,348.48 is: 378,601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,702.98 : 690,970.54 = 274,348.48 : x
  2. Step 2: Convert to fraction form
    500,702.98/690,970.54 = 274,348.48/x
  3. Step 3: Cross multiply
    500,702.98x = 690,970.54 × 274,348.48
  4. Step 4: Simplify right side
    500,702.98x = 189,566,717,373.78
  5. Step 5: Solve for x
    x = 189,566,717,373.78/500,702.98
  6. Step 6: Final answer
    x = 378,601.14

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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.