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Finding the Fourth Proportional to 491,437.18, 678,013.59 and 297,906.94

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Solution

The fourth proportional to 491,437.18, 678,013.59 and 297,906.94 is: 411,008.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,437.18 : 678,013.59 = 297,906.94 : x
  2. Step 2: Convert to fraction form
    491,437.18/678,013.59 = 297,906.94/x
  3. Step 3: Cross multiply
    491,437.18x = 678,013.59 × 297,906.94
  4. Step 4: Simplify right side
    491,437.18x = 201,984,953,875.32
  5. Step 5: Solve for x
    x = 201,984,953,875.32/491,437.18
  6. Step 6: Final answer
    x = 411,008.69

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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.