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Finding the Fourth Proportional to 428,646.78, 642,994.47 and 129,168.72

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Solution

The fourth proportional to 428,646.78, 642,994.47 and 129,168.72 is: 193,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,646.78 : 642,994.47 = 129,168.72 : x
  2. Step 2: Convert to fraction form
    428,646.78/642,994.47 = 129,168.72/x
  3. Step 3: Cross multiply
    428,646.78x = 642,994.47 × 129,168.72
  4. Step 4: Simplify right side
    428,646.78x = 83,054,772,656.98
  5. Step 5: Solve for x
    x = 83,054,772,656.98/428,646.78
  6. Step 6: Final answer
    x = 193,760.40

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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.