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Finding the Fourth Proportional to 380,155, 524,605.80 and 208,072.92

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Solution

The fourth proportional to 380,155, 524,605.80 and 208,072.92 is: 287,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,155 : 524,605.80 = 208,072.92 : x
  2. Step 2: Convert to fraction form
    380,155/524,605.80 = 208,072.92/x
  3. Step 3: Cross multiply
    380,155x = 524,605.80 × 208,072.92
  4. Step 4: Simplify right side
    380,155x = 109,156,260,654.94
  5. Step 5: Solve for x
    x = 109,156,260,654.94/380,155
  6. Step 6: Final answer
    x = 287,136.20

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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.