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Finding the Fourth Proportional to 377,309.76, 520,761.40 and 216,272.66

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Solution

The fourth proportional to 377,309.76, 520,761.40 and 216,272.66 is: 298,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,309.76 : 520,761.40 = 216,272.66 : x
  2. Step 2: Convert to fraction form
    377,309.76/520,761.40 = 216,272.66/x
  3. Step 3: Cross multiply
    377,309.76x = 520,761.40 × 216,272.66
  4. Step 4: Simplify right side
    377,309.76x = 112,626,453,203.32
  5. Step 5: Solve for x
    x = 112,626,453,203.32/377,309.76
  6. Step 6: Final answer
    x = 298,498.65

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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.