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Finding the Fourth Proportional to 357,353.47, 493,148.55 and 196,218.82

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Solution

The fourth proportional to 357,353.47, 493,148.55 and 196,218.82 is: 270,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,353.47 : 493,148.55 = 196,218.82 : x
  2. Step 2: Convert to fraction form
    357,353.47/493,148.55 = 196,218.82/x
  3. Step 3: Cross multiply
    357,353.47x = 493,148.55 × 196,218.82
  4. Step 4: Simplify right side
    357,353.47x = 96,765,026,565.71
  5. Step 5: Solve for x
    x = 96,765,026,565.71/357,353.47
  6. Step 6: Final answer
    x = 270,782.39

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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.