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Finding the Fourth Proportional to 462,614.58, 638,212.60 and 309,702.02

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Solution

The fourth proportional to 462,614.58, 638,212.60 and 309,702.02 is: 427,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,614.58 : 638,212.60 = 309,702.02 : x
  2. Step 2: Convert to fraction form
    462,614.58/638,212.60 = 309,702.02/x
  3. Step 3: Cross multiply
    462,614.58x = 638,212.60 × 309,702.02
  4. Step 4: Simplify right side
    462,614.58x = 197,655,731,409.45
  5. Step 5: Solve for x
    x = 197,655,731,409.45/462,614.58
  6. Step 6: Final answer
    x = 427,257.89

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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.