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Finding the Fourth Proportional to 380,254.54, 524,750.46 and 208,171.11

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Solution

The fourth proportional to 380,254.54, 524,750.46 and 208,171.11 is: 287,275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,254.54 : 524,750.46 = 208,171.11 : x
  2. Step 2: Convert to fraction form
    380,254.54/524,750.46 = 208,171.11/x
  3. Step 3: Cross multiply
    380,254.54x = 524,750.46 × 208,171.11
  4. Step 4: Simplify right side
    380,254.54x = 109,237,884,950.57
  5. Step 5: Solve for x
    x = 109,237,884,950.57/380,254.54
  6. Step 6: Final answer
    x = 287,275.69

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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.