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Finding the Fourth Proportional to 381,075.48, 525,927.51 and 219,973.77

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Solution

The fourth proportional to 381,075.48, 525,927.51 and 219,973.77 is: 303,588.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,075.48 : 525,927.51 = 219,973.77 : x
  2. Step 2: Convert to fraction form
    381,075.48/525,927.51 = 219,973.77/x
  3. Step 3: Cross multiply
    381,075.48x = 525,927.51 × 219,973.77
  4. Step 4: Simplify right side
    381,075.48x = 115,690,257,121.41
  5. Step 5: Solve for x
    x = 115,690,257,121.41/381,075.48
  6. Step 6: Final answer
    x = 303,588.82

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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.