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Finding the Fourth Proportional to 536,142.60, 740,042.88 and 345,156

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Solution

The fourth proportional to 536,142.60, 740,042.88 and 345,156 is: 476,422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,142.60 : 740,042.88 = 345,156 : x
  2. Step 2: Convert to fraction form
    536,142.60/740,042.88 = 345,156/x
  3. Step 3: Cross multiply
    536,142.60x = 740,042.88 × 345,156
  4. Step 4: Simplify right side
    536,142.60x = 255,430,240,289.28
  5. Step 5: Solve for x
    x = 255,430,240,289.28/536,142.60
  6. Step 6: Final answer
    x = 476,422.21

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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.