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Finding the Fourth Proportional to 380,226.80, 570,127.80 and 155,743.76

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Solution

The fourth proportional to 380,226.80, 570,127.80 and 155,743.76 is: 233,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,226.80 : 570,127.80 = 155,743.76 : x
  2. Step 2: Convert to fraction form
    380,226.80/570,127.80 = 155,743.76/x
  3. Step 3: Cross multiply
    380,226.80x = 570,127.80 × 155,743.76
  4. Step 4: Simplify right side
    380,226.80x = 88,793,847,252.53
  5. Step 5: Solve for x
    x = 88,793,847,252.53/380,226.80
  6. Step 6: Final answer
    x = 233,528.64

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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.