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Finding the Fourth Proportional to 369,189.76, 509,608.44 and 216,277

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Solution

The fourth proportional to 369,189.76, 509,608.44 and 216,277 is: 298,536.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,189.76 : 509,608.44 = 216,277 : x
  2. Step 2: Convert to fraction form
    369,189.76/509,608.44 = 216,277/x
  3. Step 3: Cross multiply
    369,189.76x = 509,608.44 × 216,277
  4. Step 4: Simplify right side
    369,189.76x = 110,216,584,577.88
  5. Step 5: Solve for x
    x = 110,216,584,577.88/369,189.76
  6. Step 6: Final answer
    x = 298,536.41

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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.