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Finding the Fourth Proportional to 258,991.20, 357,406.56 and 145,814.76

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Solution

The fourth proportional to 258,991.20, 357,406.56 and 145,814.76 is: 201,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,991.20 : 357,406.56 = 145,814.76 : x
  2. Step 2: Convert to fraction form
    258,991.20/357,406.56 = 145,814.76/x
  3. Step 3: Cross multiply
    258,991.20x = 357,406.56 × 145,814.76
  4. Step 4: Simplify right side
    258,991.20x = 52,115,151,768.83
  5. Step 5: Solve for x
    x = 52,115,151,768.83/258,991.20
  6. Step 6: Final answer
    x = 201,223.64

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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.