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Finding the Fourth Proportional to 491,432.54, 678,386.16 and 330,381

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Solution

The fourth proportional to 491,432.54, 678,386.16 and 330,381 is: 456,066.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,432.54 : 678,386.16 = 330,381 : x
  2. Step 2: Convert to fraction form
    491,432.54/678,386.16 = 330,381/x
  3. Step 3: Cross multiply
    491,432.54x = 678,386.16 × 330,381
  4. Step 4: Simplify right side
    491,432.54x = 224,125,897,926.96
  5. Step 5: Solve for x
    x = 224,125,897,926.96/491,432.54
  6. Step 6: Final answer
    x = 456,066.46

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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.