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Finding the Fourth Proportional to 428,235.46, 642,303.14 and 172,057.65

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Solution

The fourth proportional to 428,235.46, 642,303.14 and 172,057.65 is: 258,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,235.46 : 642,303.14 = 172,057.65 : x
  2. Step 2: Convert to fraction form
    428,235.46/642,303.14 = 172,057.65/x
  3. Step 3: Cross multiply
    428,235.46x = 642,303.14 × 172,057.65
  4. Step 4: Simplify right side
    428,235.46x = 110,513,168,856.02
  5. Step 5: Solve for x
    x = 110,513,168,856.02/428,235.46
  6. Step 6: Final answer
    x = 258,066.37

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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.