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Finding the Fourth Proportional to 428,612.61, 643,052.79 and 258,021.12

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Solution

The fourth proportional to 428,612.61, 643,052.79 and 258,021.12 is: 387,112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,612.61 : 643,052.79 = 258,021.12 : x
  2. Step 2: Convert to fraction form
    428,612.61/643,052.79 = 258,021.12/x
  3. Step 3: Cross multiply
    428,612.61x = 643,052.79 × 258,021.12
  4. Step 4: Simplify right side
    428,612.61x = 165,921,201,094.93
  5. Step 5: Solve for x
    x = 165,921,201,094.93/428,612.61
  6. Step 6: Final answer
    x = 387,112.27

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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.