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Finding the Fourth Proportional to 357,672.60, 493,631.10 and 214,511.40

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Solution

The fourth proportional to 357,672.60, 493,631.10 and 214,511.40 is: 296,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,672.60 : 493,631.10 = 214,511.40 : x
  2. Step 2: Convert to fraction form
    357,672.60/493,631.10 = 214,511.40/x
  3. Step 3: Cross multiply
    357,672.60x = 493,631.10 × 214,511.40
  4. Step 4: Simplify right side
    357,672.60x = 105,889,498,344.54
  5. Step 5: Solve for x
    x = 105,889,498,344.54/357,672.60
  6. Step 6: Final answer
    x = 296,051.47

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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.