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Finding the Fourth Proportional to 469,935.76, 648,511.80 and 255,075.76

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Solution

The fourth proportional to 469,935.76, 648,511.80 and 255,075.76 is: 352,004.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,935.76 : 648,511.80 = 255,075.76 : x
  2. Step 2: Convert to fraction form
    469,935.76/648,511.80 = 255,075.76/x
  3. Step 3: Cross multiply
    469,935.76x = 648,511.80 × 255,075.76
  4. Step 4: Simplify right side
    469,935.76x = 165,419,640,253.97
  5. Step 5: Solve for x
    x = 165,419,640,253.97/469,935.76
  6. Step 6: Final answer
    x = 352,004.79

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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.