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Finding the Fourth Proportional to 258,999.97, 357,406.09 and 142,709.83

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Solution

The fourth proportional to 258,999.97, 357,406.09 and 142,709.83 is: 196,931.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,999.97 : 357,406.09 = 142,709.83 : x
  2. Step 2: Convert to fraction form
    258,999.97/357,406.09 = 142,709.83/x
  3. Step 3: Cross multiply
    258,999.97x = 357,406.09 × 142,709.83
  4. Step 4: Simplify right side
    258,999.97x = 51,005,362,344.86
  5. Step 5: Solve for x
    x = 51,005,362,344.86/258,999.97
  6. Step 6: Final answer
    x = 196,931.92

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1.5x scale

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.