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Finding the Fourth Proportional to 355,644.47, 491,268.63 and 284,532.95

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Solution

The fourth proportional to 355,644.47, 491,268.63 and 284,532.95 is: 393,038.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,644.47 : 491,268.63 = 284,532.95 : x
  2. Step 2: Convert to fraction form
    355,644.47/491,268.63 = 284,532.95/x
  3. Step 3: Cross multiply
    355,644.47x = 491,268.63 × 284,532.95
  4. Step 4: Simplify right side
    355,644.47x = 139,782,110,080.02
  5. Step 5: Solve for x
    x = 139,782,110,080.02/355,644.47
  6. Step 6: Final answer
    x = 393,038.90

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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.