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Finding the Fourth Proportional to 258,698.70, 357,002.88 and 145,522.26

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Solution

The fourth proportional to 258,698.70, 357,002.88 and 145,522.26 is: 200,819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,698.70 : 357,002.88 = 145,522.26 : x
  2. Step 2: Convert to fraction form
    258,698.70/357,002.88 = 145,522.26/x
  3. Step 3: Cross multiply
    258,698.70x = 357,002.88 × 145,522.26
  4. Step 4: Simplify right side
    258,698.70x = 51,951,865,924.11
  5. Step 5: Solve for x
    x = 51,951,865,924.11/258,698.70
  6. Step 6: Final answer
    x = 200,819.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.