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Finding the Fourth Proportional to 381,145.14, 525,994.29 and 230,212.98

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Solution

The fourth proportional to 381,145.14, 525,994.29 and 230,212.98 is: 317,702.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,145.14 : 525,994.29 = 230,212.98 : x
  2. Step 2: Convert to fraction form
    381,145.14/525,994.29 = 230,212.98/x
  3. Step 3: Cross multiply
    381,145.14x = 525,994.29 × 230,212.98
  4. Step 4: Simplify right side
    381,145.14x = 121,090,712,963.88
  5. Step 5: Solve for x
    x = 121,090,712,963.88/381,145.14
  6. Step 6: Final answer
    x = 317,702.37

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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.