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Finding the Fourth Proportional to 500,702.90, 690,970.29 and 274,348.34

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Solution

The fourth proportional to 500,702.90, 690,970.29 and 274,348.34 is: 378,600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,702.90 : 690,970.29 = 274,348.34 : x
  2. Step 2: Convert to fraction form
    500,702.90/690,970.29 = 274,348.34/x
  3. Step 3: Cross multiply
    500,702.90x = 690,970.29 × 274,348.34
  4. Step 4: Simplify right side
    500,702.90x = 189,566,552,050.82
  5. Step 5: Solve for x
    x = 189,566,552,050.82/500,702.90
  6. Step 6: Final answer
    x = 378,600.87

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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.