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Finding the Fourth Proportional to 647,732.43, 893,830.42 and 357,347.73

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Solution

The fourth proportional to 647,732.43, 893,830.42 and 357,347.73 is: 493,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,732.43 : 893,830.42 = 357,347.73 : x
  2. Step 2: Convert to fraction form
    647,732.43/893,830.42 = 357,347.73/x
  3. Step 3: Cross multiply
    647,732.43x = 893,830.42 × 357,347.73
  4. Step 4: Simplify right side
    647,732.43x = 319,408,271,591.95
  5. Step 5: Solve for x
    x = 319,408,271,591.95/647,732.43
  6. Step 6: Final answer
    x = 493,117.62

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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.