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Finding the Fourth Proportional to 258,317.54, 356,464.50 and 145,133

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Solution

The fourth proportional to 258,317.54, 356,464.50 and 145,133 is: 200,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,317.54 : 356,464.50 = 145,133 : x
  2. Step 2: Convert to fraction form
    258,317.54/356,464.50 = 145,133/x
  3. Step 3: Cross multiply
    258,317.54x = 356,464.50 × 145,133
  4. Step 4: Simplify right side
    258,317.54x = 51,734,762,278.50
  5. Step 5: Solve for x
    x = 51,734,762,278.50/258,317.54
  6. Step 6: Final answer
    x = 200,275.84

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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.