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Finding the Fourth Proportional to 402,512.20, 603,768.30 and 302,128.90

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Solution

The fourth proportional to 402,512.20, 603,768.30 and 302,128.90 is: 453,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,512.20 : 603,768.30 = 302,128.90 : x
  2. Step 2: Convert to fraction form
    402,512.20/603,768.30 = 302,128.90/x
  3. Step 3: Cross multiply
    402,512.20x = 603,768.30 × 302,128.90
  4. Step 4: Simplify right side
    402,512.20x = 182,415,852,333.87
  5. Step 5: Solve for x
    x = 182,415,852,333.87/402,512.20
  6. Step 6: Final answer
    x = 453,193.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.