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Finding the Fourth Proportional to 357,280.65, 493,028.75 and 212,092.47

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Solution

The fourth proportional to 357,280.65, 493,028.75 and 212,092.47 is: 292,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,280.65 : 493,028.75 = 212,092.47 : x
  2. Step 2: Convert to fraction form
    357,280.65/493,028.75 = 212,092.47/x
  3. Step 3: Cross multiply
    357,280.65x = 493,028.75 × 212,092.47
  4. Step 4: Simplify right side
    357,280.65x = 104,567,684,308.05
  5. Step 5: Solve for x
    x = 104,567,684,308.05/357,280.65
  6. Step 6: Final answer
    x = 292,676.60

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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.