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Finding the Fourth Proportional to 354,285.68, 488,899.52 and 193,137.20

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Solution

The fourth proportional to 354,285.68, 488,899.52 and 193,137.20 is: 266,521.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,285.68 : 488,899.52 = 193,137.20 : x
  2. Step 2: Convert to fraction form
    354,285.68/488,899.52 = 193,137.20/x
  3. Step 3: Cross multiply
    354,285.68x = 488,899.52 × 193,137.20
  4. Step 4: Simplify right side
    354,285.68x = 94,424,684,374.14
  5. Step 5: Solve for x
    x = 94,424,684,374.14/354,285.68
  6. Step 6: Final answer
    x = 266,521.31

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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.