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Finding the Fourth Proportional to 540,702.34, 746,156.00 and 298,978.70

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Solution

The fourth proportional to 540,702.34, 746,156.00 and 298,978.70 is: 412,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,702.34 : 746,156.00 = 298,978.70 : x
  2. Step 2: Convert to fraction form
    540,702.34/746,156.00 = 298,978.70/x
  3. Step 3: Cross multiply
    540,702.34x = 746,156.00 × 298,978.70
  4. Step 4: Simplify right side
    540,702.34x = 223,084,747,893.87
  5. Step 5: Solve for x
    x = 223,084,747,893.87/540,702.34
  6. Step 6: Final answer
    x = 412,583.29

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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.