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Finding the Fourth Proportional to 315,040.98, 434,757.24 and 179,075.76

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Solution

The fourth proportional to 315,040.98, 434,757.24 and 179,075.76 is: 247,124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,040.98 : 434,757.24 = 179,075.76 : x
  2. Step 2: Convert to fraction form
    315,040.98/434,757.24 = 179,075.76/x
  3. Step 3: Cross multiply
    315,040.98x = 434,757.24 × 179,075.76
  4. Step 4: Simplify right side
    315,040.98x = 77,854,483,168.50
  5. Step 5: Solve for x
    x = 77,854,483,168.50/315,040.98
  6. Step 6: Final answer
    x = 247,124.94

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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.