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Finding the Fourth Proportional to 428,040.77, 642,240.36 and 188,030.88

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Solution

The fourth proportional to 428,040.77, 642,240.36 and 188,030.88 is: 282,125.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,040.77 : 642,240.36 = 188,030.88 : x
  2. Step 2: Convert to fraction form
    428,040.77/642,240.36 = 188,030.88/x
  3. Step 3: Cross multiply
    428,040.77x = 642,240.36 × 188,030.88
  4. Step 4: Simplify right side
    428,040.77x = 120,761,020,062.32
  5. Step 5: Solve for x
    x = 120,761,020,062.32/428,040.77
  6. Step 6: Final answer
    x = 282,125.04

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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.