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Finding the Fourth Proportional to 380,304.12, 524,798.87 and 208,188.80

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Solution

The fourth proportional to 380,304.12, 524,798.87 and 208,188.80 is: 287,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,304.12 : 524,798.87 = 208,188.80 : x
  2. Step 2: Convert to fraction form
    380,304.12/524,798.87 = 208,188.80/x
  3. Step 3: Cross multiply
    380,304.12x = 524,798.87 × 208,188.80
  4. Step 4: Simplify right side
    380,304.12x = 109,257,243,321.72
  5. Step 5: Solve for x
    x = 109,257,243,321.72/380,304.12
  6. Step 6: Final answer
    x = 287,289.14

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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.