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Finding the Fourth Proportional to 201,714.80, 303,228.30 and 142,957.40

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Solution

The fourth proportional to 201,714.80, 303,228.30 and 142,957.40 is: 214,901.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,714.80 : 303,228.30 = 142,957.40 : x
  2. Step 2: Convert to fraction form
    201,714.80/303,228.30 = 142,957.40/x
  3. Step 3: Cross multiply
    201,714.80x = 303,228.30 × 142,957.40
  4. Step 4: Simplify right side
    201,714.80x = 43,348,729,374.42
  5. Step 5: Solve for x
    x = 43,348,729,374.42/201,714.80
  6. Step 6: Final answer
    x = 214,901.08

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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.