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Finding the Fourth Proportional to 355,643.34, 491,267.07 and 284,531.82

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Solution

The fourth proportional to 355,643.34, 491,267.07 and 284,531.82 is: 393,037.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,643.34 : 491,267.07 = 284,531.82 : x
  2. Step 2: Convert to fraction form
    355,643.34/491,267.07 = 284,531.82/x
  3. Step 3: Cross multiply
    355,643.34x = 491,267.07 × 284,531.82
  4. Step 4: Simplify right side
    355,643.34x = 139,781,113,533.17
  5. Step 5: Solve for x
    x = 139,781,113,533.17/355,643.34
  6. Step 6: Final answer
    x = 393,037.34

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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.