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Finding the Fourth Proportional to 355,854.47, 491,064.53 and 212,693.45

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Solution

The fourth proportional to 355,854.47, 491,064.53 and 212,693.45 is: 293,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,854.47 : 491,064.53 = 212,693.45 : x
  2. Step 2: Convert to fraction form
    355,854.47/491,064.53 = 212,693.45/x
  3. Step 3: Cross multiply
    355,854.47x = 491,064.53 × 212,693.45
  4. Step 4: Simplify right side
    355,854.47x = 104,446,205,539.54
  5. Step 5: Solve for x
    x = 104,446,205,539.54/355,854.47
  6. Step 6: Final answer
    x = 293,508.21

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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.