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Finding the Fourth Proportional to 526,457.82, 726,511.92 and 297,063.81

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Solution

The fourth proportional to 526,457.82, 726,511.92 and 297,063.81 is: 409,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,457.82 : 726,511.92 = 297,063.81 : x
  2. Step 2: Convert to fraction form
    526,457.82/726,511.92 = 297,063.81/x
  3. Step 3: Cross multiply
    526,457.82x = 726,511.92 × 297,063.81
  4. Step 4: Simplify right side
    526,457.82x = 215,820,398,965.62
  5. Step 5: Solve for x
    x = 215,820,398,965.62/526,457.82
  6. Step 6: Final answer
    x = 409,948.13

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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.