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Finding the Fourth Proportional to 357,272.88, 493,018.46 and 212,084.87

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Solution

The fourth proportional to 357,272.88, 493,018.46 and 212,084.87 is: 292,666.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,272.88 : 493,018.46 = 212,084.87 : x
  2. Step 2: Convert to fraction form
    357,272.88/493,018.46 = 212,084.87/x
  3. Step 3: Cross multiply
    357,272.88x = 493,018.46 × 212,084.87
  4. Step 4: Simplify right side
    357,272.88x = 104,561,753,531.61
  5. Step 5: Solve for x
    x = 104,561,753,531.61/357,272.88
  6. Step 6: Final answer
    x = 292,666.36

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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.