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Finding the Fourth Proportional to 536,085.81, 803,562.66 and 409,450.28

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Solution

The fourth proportional to 536,085.81, 803,562.66 and 409,450.28 is: 613,743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,085.81 : 803,562.66 = 409,450.28 : x
  2. Step 2: Convert to fraction form
    536,085.81/803,562.66 = 409,450.28/x
  3. Step 3: Cross multiply
    536,085.81x = 803,562.66 × 409,450.28
  4. Step 4: Simplify right side
    536,085.81x = 329,018,952,116.73
  5. Step 5: Solve for x
    x = 329,018,952,116.73/536,085.81
  6. Step 6: Final answer
    x = 613,743.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.