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Finding the Fourth Proportional to 258,518.40, 387,774.96 and 100,857.60

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Solution

The fourth proportional to 258,518.40, 387,774.96 and 100,857.60 is: 151,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,518.40 : 387,774.96 = 100,857.60 : x
  2. Step 2: Convert to fraction form
    258,518.40/387,774.96 = 100,857.60/x
  3. Step 3: Cross multiply
    258,518.40x = 387,774.96 × 100,857.60
  4. Step 4: Simplify right side
    258,518.40x = 39,110,051,805.70
  5. Step 5: Solve for x
    x = 39,110,051,805.70/258,518.40
  6. Step 6: Final answer
    x = 151,285.37

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1.5x scale

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.