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Finding the Fourth Proportional to 259,005.20, 388,563.08 and 146,739.20

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Solution

The fourth proportional to 259,005.20, 388,563.08 and 146,739.20 is: 220,140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,005.20 : 388,563.08 = 146,739.20 : x
  2. Step 2: Convert to fraction form
    259,005.20/388,563.08 = 146,739.20/x
  3. Step 3: Cross multiply
    259,005.20x = 388,563.08 × 146,739.20
  4. Step 4: Simplify right side
    259,005.20x = 57,017,432,832.22
  5. Step 5: Solve for x
    x = 57,017,432,832.22/259,005.20
  6. Step 6: Final answer
    x = 220,140.11

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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.