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Finding the Fourth Proportional to 384,022.80, 576,034.20 and 258,051.60

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Solution

The fourth proportional to 384,022.80, 576,034.20 and 258,051.60 is: 387,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,022.80 : 576,034.20 = 258,051.60 : x
  2. Step 2: Convert to fraction form
    384,022.80/576,034.20 = 258,051.60/x
  3. Step 3: Cross multiply
    384,022.80x = 576,034.20 × 258,051.60
  4. Step 4: Simplify right side
    384,022.80x = 148,646,546,964.72
  5. Step 5: Solve for x
    x = 148,646,546,964.72/384,022.80
  6. Step 6: Final answer
    x = 387,077.40

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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.