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Finding the Fourth Proportional to 355,642.84, 491,266.38 and 284,531.32

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Solution

The fourth proportional to 355,642.84, 491,266.38 and 284,531.32 is: 393,036.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,642.84 : 491,266.38 = 284,531.32 : x
  2. Step 2: Convert to fraction form
    355,642.84/491,266.38 = 284,531.32/x
  3. Step 3: Cross multiply
    355,642.84x = 491,266.38 × 284,531.32
  4. Step 4: Simplify right side
    355,642.84x = 139,780,671,573.02
  5. Step 5: Solve for x
    x = 139,780,671,573.02/355,642.84
  6. Step 6: Final answer
    x = 393,036.65

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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.