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Finding the Fourth Proportional to 428,574, 642,989.48 and 129,064.32

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Solution

The fourth proportional to 428,574, 642,989.48 and 129,064.32 is: 193,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,574 : 642,989.48 = 129,064.32 : x
  2. Step 2: Convert to fraction form
    428,574/642,989.48 = 129,064.32/x
  3. Step 3: Cross multiply
    428,574x = 642,989.48 × 129,064.32
  4. Step 4: Simplify right side
    428,574x = 82,987,000,003.35
  5. Step 5: Solve for x
    x = 82,987,000,003.35/428,574
  6. Step 6: Final answer
    x = 193,635.17

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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.