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Finding the Fourth Proportional to 428,709.09, 643,197.48 and 258,117.81

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Solution

The fourth proportional to 428,709.09, 643,197.48 and 258,117.81 is: 387,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,709.09 : 643,197.48 = 258,117.81 : x
  2. Step 2: Convert to fraction form
    428,709.09/643,197.48 = 258,117.81/x
  3. Step 3: Cross multiply
    428,709.09x = 643,197.48 × 258,117.81
  4. Step 4: Simplify right side
    428,709.09x = 166,020,724,935.12
  5. Step 5: Solve for x
    x = 166,020,724,935.12/428,709.09
  6. Step 6: Final answer
    x = 387,257.30

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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.