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Finding the Fourth Proportional to 380,825.64, 525,479.94 and 219,686.76

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Solution

The fourth proportional to 380,825.64, 525,479.94 and 219,686.76 is: 303,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,825.64 : 525,479.94 = 219,686.76 : x
  2. Step 2: Convert to fraction form
    380,825.64/525,479.94 = 219,686.76/x
  3. Step 3: Cross multiply
    380,825.64x = 525,479.94 × 219,686.76
  4. Step 4: Simplify right side
    380,825.64x = 115,440,985,463.59
  5. Step 5: Solve for x
    x = 115,440,985,463.59/380,825.64
  6. Step 6: Final answer
    x = 303,133.44

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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.