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Finding the Fourth Proportional to 260,714.40, 359,809.20 and 153,230.64

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Solution

The fourth proportional to 260,714.40, 359,809.20 and 153,230.64 is: 211,471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,714.40 : 359,809.20 = 153,230.64 : x
  2. Step 2: Convert to fraction form
    260,714.40/359,809.20 = 153,230.64/x
  3. Step 3: Cross multiply
    260,714.40x = 359,809.20 × 153,230.64
  4. Step 4: Simplify right side
    260,714.40x = 55,133,793,993.89
  5. Step 5: Solve for x
    x = 55,133,793,993.89/260,714.40
  6. Step 6: Final answer
    x = 211,471.99

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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.