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Finding the Fourth Proportional to 548,075.16, 755,655.48 and 419,171.76

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Solution

The fourth proportional to 548,075.16, 755,655.48 and 419,171.76 is: 577,930.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,075.16 : 755,655.48 = 419,171.76 : x
  2. Step 2: Convert to fraction form
    548,075.16/755,655.48 = 419,171.76/x
  3. Step 3: Cross multiply
    548,075.16x = 755,655.48 × 419,171.76
  4. Step 4: Simplify right side
    548,075.16x = 316,749,437,505.25
  5. Step 5: Solve for x
    x = 316,749,437,505.25/548,075.16
  6. Step 6: Final answer
    x = 577,930.66

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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.