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Finding the Fourth Proportional to 258,993.20, 357,409.32 and 145,816.76

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Solution

The fourth proportional to 258,993.20, 357,409.32 and 145,816.76 is: 201,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,993.20 : 357,409.32 = 145,816.76 : x
  2. Step 2: Convert to fraction form
    258,993.20/357,409.32 = 145,816.76/x
  3. Step 3: Cross multiply
    258,993.20x = 357,409.32 × 145,816.76
  4. Step 4: Simplify right side
    258,993.20x = 52,116,269,036.20
  5. Step 5: Solve for x
    x = 52,116,269,036.20/258,993.20
  6. Step 6: Final answer
    x = 201,226.40

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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.