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Finding the Fourth Proportional to 427,983.50, 590,515.80 and 253,465.56

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Solution

The fourth proportional to 427,983.50, 590,515.80 and 253,465.56 is: 349,722.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,983.50 : 590,515.80 = 253,465.56 : x
  2. Step 2: Convert to fraction form
    427,983.50/590,515.80 = 253,465.56/x
  3. Step 3: Cross multiply
    427,983.50x = 590,515.80 × 253,465.56
  4. Step 4: Simplify right side
    427,983.50x = 149,675,417,935.85
  5. Step 5: Solve for x
    x = 149,675,417,935.85/427,983.50
  6. Step 6: Final answer
    x = 349,722.40

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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.