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Finding the Fourth Proportional to 402,621.03, 603,825.84 and 212,825.88

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Solution

The fourth proportional to 402,621.03, 603,825.84 and 212,825.88 is: 319,182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,621.03 : 603,825.84 = 212,825.88 : x
  2. Step 2: Convert to fraction form
    402,621.03/603,825.84 = 212,825.88/x
  3. Step 3: Cross multiply
    402,621.03x = 603,825.84 × 212,825.88
  4. Step 4: Simplify right side
    402,621.03x = 128,509,765,764.74
  5. Step 5: Solve for x
    x = 128,509,765,764.74/402,621.03
  6. Step 6: Final answer
    x = 319,182.94

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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.