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Finding the Fourth Proportional to 358,486.34, 494,599.72 and 203,411.98

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Solution

The fourth proportional to 358,486.34, 494,599.72 and 203,411.98 is: 280,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,486.34 : 494,599.72 = 203,411.98 : x
  2. Step 2: Convert to fraction form
    358,486.34/494,599.72 = 203,411.98/x
  3. Step 3: Cross multiply
    358,486.34x = 494,599.72 × 203,411.98
  4. Step 4: Simplify right side
    358,486.34x = 100,607,509,253.25
  5. Step 5: Solve for x
    x = 100,607,509,253.25/358,486.34
  6. Step 6: Final answer
    x = 280,645.31

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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.