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Finding the Fourth Proportional to 466,686.42, 643,858.84 and 305,633.32

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Solution

The fourth proportional to 466,686.42, 643,858.84 and 305,633.32 is: 421,663.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,686.42 : 643,858.84 = 305,633.32 : x
  2. Step 2: Convert to fraction form
    466,686.42/643,858.84 = 305,633.32/x
  3. Step 3: Cross multiply
    466,686.42x = 643,858.84 × 305,633.32
  4. Step 4: Simplify right side
    466,686.42x = 196,784,714,880.55
  5. Step 5: Solve for x
    x = 196,784,714,880.55/466,686.42
  6. Step 6: Final answer
    x = 421,663.68

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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.