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Finding the Fourth Proportional to 273,846.40, 377,903.28 and 152,980

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Solution

The fourth proportional to 273,846.40, 377,903.28 and 152,980 is: 211,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,846.40 : 377,903.28 = 152,980 : x
  2. Step 2: Convert to fraction form
    273,846.40/377,903.28 = 152,980/x
  3. Step 3: Cross multiply
    273,846.40x = 377,903.28 × 152,980
  4. Step 4: Simplify right side
    273,846.40x = 57,811,643,774.40
  5. Step 5: Solve for x
    x = 57,811,643,774.40/273,846.40
  6. Step 6: Final answer
    x = 211,109.75

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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.