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Finding the Fourth Proportional to 428,689.50, 642,518.46 and 158,602.28

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Solution

The fourth proportional to 428,689.50, 642,518.46 and 158,602.28 is: 237,712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,689.50 : 642,518.46 = 158,602.28 : x
  2. Step 2: Convert to fraction form
    428,689.50/642,518.46 = 158,602.28/x
  3. Step 3: Cross multiply
    428,689.50x = 642,518.46 × 158,602.28
  4. Step 4: Simplify right side
    428,689.50x = 101,904,892,698.09
  5. Step 5: Solve for x
    x = 101,904,892,698.09/428,689.50
  6. Step 6: Final answer
    x = 237,712.59

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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.