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Finding the Fourth Proportional to 491,301.52, 678,026.99 and 297,726.17

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Solution

The fourth proportional to 491,301.52, 678,026.99 and 297,726.17 is: 410,880.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,301.52 : 678,026.99 = 297,726.17 : x
  2. Step 2: Convert to fraction form
    491,301.52/678,026.99 = 297,726.17/x
  3. Step 3: Cross multiply
    491,301.52x = 678,026.99 × 297,726.17
  4. Step 4: Simplify right side
    491,301.52x = 201,866,381,328.71
  5. Step 5: Solve for x
    x = 201,866,381,328.71/491,301.52
  6. Step 6: Final answer
    x = 410,880.84

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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.